Re: [R] help with statistics in R - how to measure the effect of users in groups

2011-10-10 Thread gj
Hi Petr,

It's not an equation. It's my mistake; the * are meant to be field
separators for the example data. I should have just use blank spaces as
follows:

users   Group1   Group2   Group3
u110   5N/A
u2 6  N/A  4
u3 5   23


Regards
Gawesh

On Mon, Oct 10, 2011 at 9:32 AM, Petr PIKAL petr.pi...@precheza.cz wrote:

 Hi

 I do not understand much about your equations. I think you shall look to
 Practical Regression and Anova Using R from J.Faraway.

 Having data frame DF with columns - users, groups, results you could do

 fit - lm(results~groups, data = DF)

 Regards
 Petr




 
  Hi,
 
  I'm a newbie to R. My knowledge of statistics is mostly self-taught. My
  problem is how to measure the effect of users in groups. I can calculate
 a
  particular attribute for a user in a group. But my hypothesis is that
 the
  user's attribute is not independent of each other and that the user's
  attribute depends on the group ie that user's behaviour change based on
 the
  group.
 
  Let me give an example:
 
  users*Group 1*Group 2*Group 3
  u1*10*5*n/a
  u2*6*n/a*4
  u3*5*2*3
 
  For example, I want to be able to prove that u1 behaviour is different
 in
  group 1 than other groups and the particular thing about Group 1 is that
  users in Group 1 tend to have a higher value of the attribute under
  measurement.
 
 
  Hence, can use R to test my hypothesis. I'm willing to learn; so if this
 is
  very simple, just point me in the direction of any online resources
 about
  it. At the moment, I don't even how to define these class of problems?
 That
  will be a start.
 
  Regards
  Gawesh
 
 [[alternative HTML version deleted]]
 
  __
  R-help@r-project.org mailing list
  https://stat.ethz.ch/mailman/listinfo/r-help
  PLEASE do read the posting guide
 http://www.R-project.org/posting-guide.html
  and provide commented, minimal, self-contained, reproducible code.



[[alternative HTML version deleted]]

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R-help@r-project.org mailing list
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and provide commented, minimal, self-contained, reproducible code.


Re: [R] help with statistics in R - how to measure the effect of users in groups

2011-10-10 Thread Petr PIKAL
 
 Hi Petr,
 
 It's not an equation. It's my mistake; the * are meant to be field
 separators for the example data. I should have just use blank spaces as
 follows:
 
 users   Group1   Group2   Group3
 u110   5N/A
 u2 6  N/A  4
 u3 5   23
 
 
 Regards
 Gawesh

OK. You shall transform your data to long format to use lm

test - read.table(clipboard, header=T, na.strings=N/A)
test.m-melt(test)
Using users as id variables
fit-lm(value~variable, data=test.m)
summary(fit)

Call:
lm(formula = value ~ variable, data = test.m)

Residuals:
   1234689 
 3.0 -1.0 -2.0  1.5 -1.5  0.5 -0.5 

Coefficients:
   Estimate Std. Error t value Pr(|t|) 
(Intercept)   7.000  1.258   5.563  0.00511 **
variableGroup2   -3.500  1.990  -1.759  0.15336 
variableGroup3   -3.500  1.990  -1.759  0.15336 
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 2.179 on 4 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.525,  Adjusted R-squared: 0.2875 
F-statistic: 2.211 on 2 and 4 DF,  p-value: 0.2256 

No difference among groups, but I am not sure if this is the correct way 
to evaluate.

library(ggplot2)
p-ggplot(test.m, aes(x=variable, y=value, colour=users))
p+geom_point()

There is some sign that user3 has lowest value in each group. However for 
including users to fit there is not enough data.

Regards
Petr 



 
 On Mon, Oct 10, 2011 at 9:32 AM, Petr PIKAL petr.pi...@precheza.cz 
wrote:
 
  Hi
 
  I do not understand much about your equations. I think you shall look 
to
  Practical Regression and Anova Using R from J.Faraway.
 
  Having data frame DF with columns - users, groups, results you could 
do
 
  fit - lm(results~groups, data = DF)
 
  Regards
  Petr
 
 
 
 
  
   Hi,
  
   I'm a newbie to R. My knowledge of statistics is mostly self-taught. 
My
   problem is how to measure the effect of users in groups. I can 
calculate
  a
   particular attribute for a user in a group. But my hypothesis is 
that
  the
   user's attribute is not independent of each other and that the 
user's
   attribute depends on the group ie that user's behaviour change based 
on
  the
   group.
  
   Let me give an example:
  
   users*Group 1*Group 2*Group 3
   u1*10*5*n/a
   u2*6*n/a*4
   u3*5*2*3
  
   For example, I want to be able to prove that u1 behaviour is 
different
  in
   group 1 than other groups and the particular thing about Group 1 is 
that
   users in Group 1 tend to have a higher value of the attribute under
   measurement.
  
  
   Hence, can use R to test my hypothesis. I'm willing to learn; so if 
this
  is
   very simple, just point me in the direction of any online resources
  about
   it. At the moment, I don't even how to define these class of 
problems?
  That
   will be a start.
  
   Regards
   Gawesh
  
  [[alternative HTML version deleted]]
  
   __
   R-help@r-project.org mailing list
   https://stat.ethz.ch/mailman/listinfo/r-help
   PLEASE do read the posting guide
  http://www.R-project.org/posting-guide.html
   and provide commented, minimal, self-contained, reproducible code.
 
 
 
[[alternative HTML version deleted]]
 
 __
 R-help@r-project.org mailing list
 https://stat.ethz.ch/mailman/listinfo/r-help
 PLEASE do read the posting guide 
http://www.R-project.org/posting-guide.html
 and provide commented, minimal, self-contained, reproducible code.

__
R-help@r-project.org mailing list
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PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.


Re: [R] help with statistics in R - how to measure the effect of users in groups

2011-10-10 Thread gj
Thanks Petr. I will try it on the real data.

But that will only show that the groups are different or not.
Is there any way I can test if the users are different when they are in
different groups?

Regards
Gawesh

On Mon, Oct 10, 2011 at 11:17 AM, Petr PIKAL petr.pi...@precheza.cz wrote:

 
  Hi Petr,
 
  It's not an equation. It's my mistake; the * are meant to be field
  separators for the example data. I should have just use blank spaces as
  follows:
 
  users   Group1   Group2   Group3
  u110   5N/A
  u2 6  N/A  4
  u3 5   23
 
 
  Regards
  Gawesh

 OK. You shall transform your data to long format to use lm

 test - read.table(clipboard, header=T, na.strings=N/A)
 test.m-melt(test)
 Using users as id variables
 fit-lm(value~variable, data=test.m)
 summary(fit)

 Call:
 lm(formula = value ~ variable, data = test.m)

 Residuals:
   1234689
  3.0 -1.0 -2.0  1.5 -1.5  0.5 -0.5

 Coefficients:
   Estimate Std. Error t value Pr(|t|)
 (Intercept)   7.000  1.258   5.563 0.00511 **
 variableGroup2   -3.500  1.990  -1.759 0.15336
 variableGroup3   -3.500  1.990  -1.759 0.15336
 ---
 Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

 Residual standard error: 2.179 on 4 degrees of freedom
  (2 observations deleted due to missingness)
 Multiple R-squared: 0.525,  Adjusted R-squared: 0.2875
 F-statistic: 2.211 on 2 and 4 DF,  p-value: 0.2256

 No difference among groups, but I am not sure if this is the correct way
 to evaluate.

 library(ggplot2)
 p-ggplot(test.m, aes(x=variable, y=value, colour=users))
 p+geom_point()

 There is some sign that user3 has lowest value in each group. However for
 including users to fit there is not enough data.

 Regards
 Petr


 
 
  On Mon, Oct 10, 2011 at 9:32 AM, Petr PIKAL petr.pi...@precheza.cz
 wrote:
 
   Hi
  
   I do not understand much about your equations. I think you shall look
 to
   Practical Regression and Anova Using R from J.Faraway.
  
   Having data frame DF with columns - users, groups, results you could
 do
  
   fit - lm(results~groups, data = DF)
  
   Regards
   Petr
  
  
  
  
   
Hi,
   
I'm a newbie to R. My knowledge of statistics is mostly self-taught.
 My
problem is how to measure the effect of users in groups. I can
 calculate
   a
particular attribute for a user in a group. But my hypothesis is
 that
   the
user's attribute is not independent of each other and that the
 user's
attribute depends on the group ie that user's behaviour change based
 on
   the
group.
   
Let me give an example:
   
users*Group 1*Group 2*Group 3
u1*10*5*n/a
u2*6*n/a*4
u3*5*2*3
   
For example, I want to be able to prove that u1 behaviour is
 different
   in
group 1 than other groups and the particular thing about Group 1 is
 that
users in Group 1 tend to have a higher value of the attribute under
measurement.
   
   
Hence, can use R to test my hypothesis. I'm willing to learn; so if
 this
   is
very simple, just point me in the direction of any online resources
   about
it. At the moment, I don't even how to define these class of
 problems?
   That
will be a start.
   
Regards
Gawesh
   
   [[alternative HTML version deleted]]
   
__
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide
   http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.
  
  
 
 [[alternative HTML version deleted]]
 
  __
  R-help@r-project.org mailing list
  https://stat.ethz.ch/mailman/listinfo/r-help
  PLEASE do read the posting guide
 http://www.R-project.org/posting-guide.html
  and provide commented, minimal, self-contained, reproducible code.



[[alternative HTML version deleted]]

__
R-help@r-project.org mailing list
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and provide commented, minimal, self-contained, reproducible code.


Re: [R] help with statistics in R - how to measure the effect of users in groups

2011-10-10 Thread Carlos Ortega
Hello,

In package qualityTools you can find one way to perform this analysis
through the gageRR() function.
The effect of an operator on the mesasurement system (Reproductibility) is
to me equivalent to the effect you try to study of your users when they are
in different groups.

Regards,
Carlos Ortega
www.qualityexcellence.es


On Mon, Oct 10, 2011 at 12:48 PM, gj gaw...@gmail.com wrote:

 Thanks Petr. I will try it on the real data.

 But that will only show that the groups are different or not.
 Is there any way I can test if the users are different when they are in
 different groups?

 Regards
 Gawesh

 On Mon, Oct 10, 2011 at 11:17 AM, Petr PIKAL petr.pi...@precheza.cz
 wrote:

  
   Hi Petr,
  
   It's not an equation. It's my mistake; the * are meant to be field
   separators for the example data. I should have just use blank spaces as
   follows:
  
   users   Group1   Group2   Group3
   u110   5N/A
   u2 6  N/A  4
   u3 5   23
  
  
   Regards
   Gawesh
 
  OK. You shall transform your data to long format to use lm
 
  test - read.table(clipboard, header=T, na.strings=N/A)
  test.m-melt(test)
  Using users as id variables
  fit-lm(value~variable, data=test.m)
  summary(fit)
 
  Call:
  lm(formula = value ~ variable, data = test.m)
 
  Residuals:
1234689
   3.0 -1.0 -2.0  1.5 -1.5  0.5 -0.5
 
  Coefficients:
Estimate Std. Error t value Pr(|t|)
  (Intercept)   7.000  1.258   5.563 0.00511 **
  variableGroup2   -3.500  1.990  -1.759 0.15336
  variableGroup3   -3.500  1.990  -1.759 0.15336
  ---
  Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
 
  Residual standard error: 2.179 on 4 degrees of freedom
   (2 observations deleted due to missingness)
  Multiple R-squared: 0.525,  Adjusted R-squared: 0.2875
  F-statistic: 2.211 on 2 and 4 DF,  p-value: 0.2256
 
  No difference among groups, but I am not sure if this is the correct way
  to evaluate.
 
  library(ggplot2)
  p-ggplot(test.m, aes(x=variable, y=value, colour=users))
  p+geom_point()
 
  There is some sign that user3 has lowest value in each group. However for
  including users to fit there is not enough data.
 
  Regards
  Petr
 
 
  
  
   On Mon, Oct 10, 2011 at 9:32 AM, Petr PIKAL petr.pi...@precheza.cz
  wrote:
  
Hi
   
I do not understand much about your equations. I think you shall look
  to
Practical Regression and Anova Using R from J.Faraway.
   
Having data frame DF with columns - users, groups, results you could
  do
   
fit - lm(results~groups, data = DF)
   
Regards
Petr
   
   
   
   

 Hi,

 I'm a newbie to R. My knowledge of statistics is mostly
 self-taught.
  My
 problem is how to measure the effect of users in groups. I can
  calculate
a
 particular attribute for a user in a group. But my hypothesis is
  that
the
 user's attribute is not independent of each other and that the
  user's
 attribute depends on the group ie that user's behaviour change
 based
  on
the
 group.

 Let me give an example:

 users*Group 1*Group 2*Group 3
 u1*10*5*n/a
 u2*6*n/a*4
 u3*5*2*3

 For example, I want to be able to prove that u1 behaviour is
  different
in
 group 1 than other groups and the particular thing about Group 1 is
  that
 users in Group 1 tend to have a higher value of the attribute under
 measurement.


 Hence, can use R to test my hypothesis. I'm willing to learn; so if
  this
is
 very simple, just point me in the direction of any online resources
about
 it. At the moment, I don't even how to define these class of
  problems?
That
 will be a start.

 Regards
 Gawesh

[[alternative HTML version deleted]]

 __
 R-help@r-project.org mailing list
 https://stat.ethz.ch/mailman/listinfo/r-help
 PLEASE do read the posting guide
http://www.R-project.org/posting-guide.html
 and provide commented, minimal, self-contained, reproducible code.
   
   
  
  [[alternative HTML version deleted]]
  
   __
   R-help@r-project.org mailing list
   https://stat.ethz.ch/mailman/listinfo/r-help
   PLEASE do read the posting guide
  http://www.R-project.org/posting-guide.html
   and provide commented, minimal, self-contained, reproducible code.
 
 

 [[alternative HTML version deleted]]


 __
 R-help@r-project.org mailing list
 https://stat.ethz.ch/mailman/listinfo/r-help
 PLEASE do read the posting guide
 http://www.R-project.org/posting-guide.html
 and provide commented, minimal, self-contained, reproducible code.



[[alternative HTML version deleted]]

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R-help@r-project.org mailing 

Re: [R] help with statistics in R - how to measure the effect of users in groups

2011-10-10 Thread Bert Gunter
Assuming your data are in a data frame, yourdat,  as:

User   Group   Value
u1 1  !0
u2 2 5
u3  3  NA
...(etc)

where Group is **explicitly coerced to be a factor,**
then you want the User x Group interaction, obtained from

lm( Value ~ Group*User,data = yourdat)

However, you'll get some kind of warning message if

a) Not all Group x User combinations are present in the data

b) Moreover, no statistics can be calculated if there are no replicates of
UserxGroup combinations.

If you do not know why either of these are the case, get local help or study
any linear models (regression) text or online tutorial, as these last issues
have nothing to do with R.

-- Bert


On Mon, Oct 10, 2011 at 3:48 AM, gj gaw...@gmail.com wrote:

 Thanks Petr. I will try it on the real data.

 But that will only show that the groups are different or not.
 Is there any way I can test if the users are different when they are in
 different groups?

 Regards
 Gawesh

 On Mon, Oct 10, 2011 at 11:17 AM, Petr PIKAL petr.pi...@precheza.cz
 wrote:

  
   Hi Petr,
  
   It's not an equation. It's my mistake; the * are meant to be field
   separators for the example data. I should have just use blank spaces as
   follows:
  
   users   Group1   Group2   Group3
   u110   5N/A
   u2 6  N/A  4
   u3 5   23
  
  
   Regards
   Gawesh
 
  OK. You shall transform your data to long format to use lm
 
  test - read.table(clipboard, header=T, na.strings=N/A)
  test.m-melt(test)
  Using users as id variables
  fit-lm(value~variable, data=test.m)
  summary(fit)
 
  Call:
  lm(formula = value ~ variable, data = test.m)
 
  Residuals:
1234689
   3.0 -1.0 -2.0  1.5 -1.5  0.5 -0.5
 
  Coefficients:
Estimate Std. Error t value Pr(|t|)
  (Intercept)   7.000  1.258   5.563 0.00511 **
  variableGroup2   -3.500  1.990  -1.759 0.15336
  variableGroup3   -3.500  1.990  -1.759 0.15336
  ---
  Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
 
  Residual standard error: 2.179 on 4 degrees of freedom
   (2 observations deleted due to missingness)
  Multiple R-squared: 0.525,  Adjusted R-squared: 0.2875
  F-statistic: 2.211 on 2 and 4 DF,  p-value: 0.2256
 
  No difference among groups, but I am not sure if this is the correct way
  to evaluate.
 
  library(ggplot2)
  p-ggplot(test.m, aes(x=variable, y=value, colour=users))
  p+geom_point()
 
  There is some sign that user3 has lowest value in each group. However for
  including users to fit there is not enough data.
 
  Regards
  Petr
 
 
  
  
   On Mon, Oct 10, 2011 at 9:32 AM, Petr PIKAL petr.pi...@precheza.cz
  wrote:
  
Hi
   
I do not understand much about your equations. I think you shall look
  to
Practical Regression and Anova Using R from J.Faraway.
   
Having data frame DF with columns - users, groups, results you could
  do
   
fit - lm(results~groups, data = DF)
   
Regards
Petr
   
   
   
   

 Hi,

 I'm a newbie to R. My knowledge of statistics is mostly
 self-taught.
  My
 problem is how to measure the effect of users in groups. I can
  calculate
a
 particular attribute for a user in a group. But my hypothesis is
  that
the
 user's attribute is not independent of each other and that the
  user's
 attribute depends on the group ie that user's behaviour change
 based
  on
the
 group.

 Let me give an example:

 users*Group 1*Group 2*Group 3
 u1*10*5*n/a
 u2*6*n/a*4
 u3*5*2*3

 For example, I want to be able to prove that u1 behaviour is
  different
in
 group 1 than other groups and the particular thing about Group 1 is
  that
 users in Group 1 tend to have a higher value of the attribute under
 measurement.


 Hence, can use R to test my hypothesis. I'm willing to learn; so if
  this
is
 very simple, just point me in the direction of any online resources
about
 it. At the moment, I don't even how to define these class of
  problems?
That
 will be a start.

 Regards
 Gawesh

[[alternative HTML version deleted]]

 __
 R-help@r-project.org mailing list
 https://stat.ethz.ch/mailman/listinfo/r-help
 PLEASE do read the posting guide
http://www.R-project.org/posting-guide.html
 and provide commented, minimal, self-contained, reproducible code.
   
   
  
  [[alternative HTML version deleted]]
  
   __
   R-help@r-project.org mailing list
   https://stat.ethz.ch/mailman/listinfo/r-help
   PLEASE do read the posting guide
  http://www.R-project.org/posting-guide.html
   and provide commented, minimal, self-contained, reproducible code.
 
 

[[alternative HTML version deleted]]


 

Re: [R] help with statistics in R - how to measure the effect of users in groups

2011-10-10 Thread Bert Gunter
I should have added...

If your design is not nearly balanced, main effects and interactions will
not have any natural interpretation because they will be (partially)
confounded. (I realize nearly is not a very useful characterization, but I
do not know a better one, as it probably depends on the scientific context
of your data).

Again, if you do not know what this means, get statistical help as I
previously suggested. Or you might want to try the stats.stackexchange.com
website.

-- Bert

On Mon, Oct 10, 2011 at 7:06 AM, Bert Gunter bgun...@gene.com wrote:

 Assuming your data are in a data frame, yourdat,  as:

 User   Group   Value
 u1 1  !0
 u2 2 5
 u3  3  NA
 ...(etc)

 where Group is **explicitly coerced to be a factor,**
 then you want the User x Group interaction, obtained from

 lm( Value ~ Group*User,data = yourdat)

 However, you'll get some kind of warning message if

 a) Not all Group x User combinations are present in the data

 b) Moreover, no statistics can be calculated if there are no replicates of
 UserxGroup combinations.

 If you do not know why either of these are the case, get local help or
 study any linear models (regression) text or online tutorial, as these last
 issues have nothing to do with R.

 -- Bert


 On Mon, Oct 10, 2011 at 3:48 AM, gj gaw...@gmail.com wrote:

 Thanks Petr. I will try it on the real data.

 But that will only show that the groups are different or not.
 Is there any way I can test if the users are different when they are in
 different groups?

 Regards
 Gawesh

 On Mon, Oct 10, 2011 at 11:17 AM, Petr PIKAL petr.pi...@precheza.cz
 wrote:

  
   Hi Petr,
  
   It's not an equation. It's my mistake; the * are meant to be field
   separators for the example data. I should have just use blank spaces
 as
   follows:
  
   users   Group1   Group2   Group3
   u110   5N/A
   u2 6  N/A  4
   u3 5   23
  
  
   Regards
   Gawesh
 
  OK. You shall transform your data to long format to use lm
 
  test - read.table(clipboard, header=T, na.strings=N/A)
  test.m-melt(test)
  Using users as id variables
  fit-lm(value~variable, data=test.m)
  summary(fit)
 
  Call:
  lm(formula = value ~ variable, data = test.m)
 
  Residuals:
1234689
   3.0 -1.0 -2.0  1.5 -1.5  0.5 -0.5
 
  Coefficients:
Estimate Std. Error t value Pr(|t|)
  (Intercept)   7.000  1.258   5.563 0.00511 **
  variableGroup2   -3.500  1.990  -1.759 0.15336
  variableGroup3   -3.500  1.990  -1.759 0.15336
  ---
  Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
 
  Residual standard error: 2.179 on 4 degrees of freedom
   (2 observations deleted due to missingness)
  Multiple R-squared: 0.525,  Adjusted R-squared: 0.2875
  F-statistic: 2.211 on 2 and 4 DF,  p-value: 0.2256
 
  No difference among groups, but I am not sure if this is the correct way
  to evaluate.
 
  library(ggplot2)
  p-ggplot(test.m, aes(x=variable, y=value, colour=users))
  p+geom_point()
 
  There is some sign that user3 has lowest value in each group. However
 for
  including users to fit there is not enough data.
 
  Regards
  Petr
 
 
  
  
   On Mon, Oct 10, 2011 at 9:32 AM, Petr PIKAL petr.pi...@precheza.cz
  wrote:
  
Hi
   
I do not understand much about your equations. I think you shall
 look
  to
Practical Regression and Anova Using R from J.Faraway.
   
Having data frame DF with columns - users, groups, results you could
  do
   
fit - lm(results~groups, data = DF)
   
Regards
Petr
   
   
   
   

 Hi,

 I'm a newbie to R. My knowledge of statistics is mostly
 self-taught.
  My
 problem is how to measure the effect of users in groups. I can
  calculate
a
 particular attribute for a user in a group. But my hypothesis is
  that
the
 user's attribute is not independent of each other and that the
  user's
 attribute depends on the group ie that user's behaviour change
 based
  on
the
 group.

 Let me give an example:

 users*Group 1*Group 2*Group 3
 u1*10*5*n/a
 u2*6*n/a*4
 u3*5*2*3

 For example, I want to be able to prove that u1 behaviour is
  different
in
 group 1 than other groups and the particular thing about Group 1
 is
  that
 users in Group 1 tend to have a higher value of the attribute
 under
 measurement.


 Hence, can use R to test my hypothesis. I'm willing to learn; so
 if
  this
is
 very simple, just point me in the direction of any online
 resources
about
 it. At the moment, I don't even how to define these class of
  problems?
That
 will be a start.

 Regards
 Gawesh

[[alternative HTML version deleted]]

 __
 R-help@r-project.org mailing list
 

Re: [R] help with statistics in R - how to measure the effect of users in groups

2011-10-10 Thread Anupam
Groups are different treatments given to Users for your Outcome
(measurement) of interest. Take this idea forward and you will have an
answer. 

Anupam.
-Original Message-
From: r-help-boun...@r-project.org [mailto:r-help-boun...@r-project.org] On
Behalf Of Bert Gunter
Sent: Monday, October 10, 2011 7:36 PM
To: gj
Cc: r-help@r-project.org
Subject: Re: [R] help with statistics in R - how to measure the effect of
users in groups

Assuming your data are in a data frame, yourdat,  as:

User   Group   Value
u1 1  !0
u2 2 5
u3  3  NA
...(etc)

where Group is **explicitly coerced to be a factor,** then you want the User
x Group interaction, obtained from

lm( Value ~ Group*User,data = yourdat)

However, you'll get some kind of warning message if

a) Not all Group x User combinations are present in the data

b) Moreover, no statistics can be calculated if there are no replicates of
UserxGroup combinations.

If you do not know why either of these are the case, get local help or study
any linear models (regression) text or online tutorial, as these last issues
have nothing to do with R.

-- Bert


On Mon, Oct 10, 2011 at 3:48 AM, gj gaw...@gmail.com wrote:

 Thanks Petr. I will try it on the real data.

 But that will only show that the groups are different or not.
 Is there any way I can test if the users are different when they are 
 in different groups?

 Regards
 Gawesh

 On Mon, Oct 10, 2011 at 11:17 AM, Petr PIKAL petr.pi...@precheza.cz
 wrote:

  
   Hi Petr,
  
   It's not an equation. It's my mistake; the * are meant to be field 
   separators for the example data. I should have just use blank 
   spaces as
   follows:
  
   users   Group1   Group2   Group3
   u110   5N/A
   u2 6  N/A  4
   u3 5   23
  
  
   Regards
   Gawesh
 
  OK. You shall transform your data to long format to use lm
 
  test - read.table(clipboard, header=T, na.strings=N/A)
  test.m-melt(test)
  Using users as id variables
  fit-lm(value~variable, data=test.m)
  summary(fit)
 
  Call:
  lm(formula = value ~ variable, data = test.m)
 
  Residuals:
1234689
   3.0 -1.0 -2.0  1.5 -1.5  0.5 -0.5
 
  Coefficients:
Estimate Std. Error t value Pr(|t|)
  (Intercept)   7.000  1.258   5.563 0.00511 **
  variableGroup2   -3.500  1.990  -1.759 0.15336
  variableGroup3   -3.500  1.990  -1.759 0.15336
  ---
  Signif. codes:  0 *** 0.001 ** 0.01 * 0.05 . 0.1   1
 
  Residual standard error: 2.179 on 4 degrees of freedom
   (2 observations deleted due to missingness)
  Multiple R-squared: 0.525,  Adjusted R-squared: 0.2875
  F-statistic: 2.211 on 2 and 4 DF,  p-value: 0.2256
 
  No difference among groups, but I am not sure if this is the correct 
  way to evaluate.
 
  library(ggplot2)
  p-ggplot(test.m, aes(x=variable, y=value, colour=users))
  p+geom_point()
 
  There is some sign that user3 has lowest value in each group. 
  However for including users to fit there is not enough data.
 
  Regards
  Petr
 
 
  
  
   On Mon, Oct 10, 2011 at 9:32 AM, Petr PIKAL 
   petr.pi...@precheza.cz
  wrote:
  
Hi
   
I do not understand much about your equations. I think you shall 
look
  to
Practical Regression and Anova Using R from J.Faraway.
   
Having data frame DF with columns - users, groups, results you 
could
  do
   
fit - lm(results~groups, data = DF)
   
Regards
Petr
   
   
   
   

 Hi,

 I'm a newbie to R. My knowledge of statistics is mostly
 self-taught.
  My
 problem is how to measure the effect of users in groups. I can
  calculate
a
 particular attribute for a user in a group. But my hypothesis 
 is
  that
the
 user's attribute is not independent of each other and that the
  user's
 attribute depends on the group ie that user's behaviour change
 based
  on
the
 group.

 Let me give an example:

 users*Group 1*Group 2*Group 3
 u1*10*5*n/a
 u2*6*n/a*4
 u3*5*2*3

 For example, I want to be able to prove that u1 behaviour is
  different
in
 group 1 than other groups and the particular thing about Group 
 1 is
  that
 users in Group 1 tend to have a higher value of the attribute 
 under measurement.


 Hence, can use R to test my hypothesis. I'm willing to learn; 
 so if
  this
is
 very simple, just point me in the direction of any online 
 resources
about
 it. At the moment, I don't even how to define these class of
  problems?
That
 will be a start.

 Regards
 Gawesh

[[alternative HTML version deleted]]

 __
 R-help@r-project.org mailing list 
 https://stat.ethz.ch/mailman/listinfo/r-help
 PLEASE do read the posting guide
http://www.R-project.org/posting-guide.html
 and 

Re: [R] help with statistics in R - how to measure the effect of users in groups

2011-10-10 Thread gj
Hi Bert,

The real situation is like what you suggested, user x group interactions.
The users can be in more than one group.
In fact, the data that I am trying to analyse constitute of users, online
forums as groups and the attribute under measure is the number of posts made
by each user in a particular forum.

My hypothesis is that the number of posts a user makes to a forum is
dependent on the forum. For example if the user is in a forum that is active
he contributes more compared to when he is in a forum that is less active. I
guess there will be some users who contribute the same irrespective of the
forum.

I hope this makes sense.

Regards
Gawesh

On Mon, Oct 10, 2011 at 4:50 PM, Bert Gunter gunter.ber...@gene.com wrote:

 Yes, of course. But then one gets into additional problems with carryover
 effects,etc.
 Also, one then has a repeated measures problem (User is the experimental
 unit) and my previous advice is nonsense,

 Like you, I have no idea what his real situation is.

 -- Bert


 On Mon, Oct 10, 2011 at 8:39 AM, Anupam anupa...@gmail.com wrote:

 It is possible to give multiple treatments, one at a time, to same pool of
 patients. You are correct that interactions may be important in this
 problem. I am only trying to help him frame the problem using an analogy.
 

 ** **

 Anupam.

 *From:* Bert Gunter [mailto:gunter.ber...@gene.com]
 *Sent:* Monday, October 10, 2011 8:21 PM
 *To:* Anupam
 *Cc:* gj
 *Subject:* Re: [R] help with statistics in R - how to measure the effect
 of users in groups

 ** **

 If that is the case, and each user can appear in only one group, there is
 no group x user interaction, the poster's question was nonsense, and one
 analyzes the group effect only, as originally shown

 -- Bert

 On Mon, Oct 10, 2011 at 7:43 AM, Anupam anupa...@gmail.com wrote:

 Groups are different treatments given to Users for your Outcome
 (measurement) of interest. Take this idea forward and you will have an
 answer.

 Anupam.
 -Original Message-
 From: r-help-boun...@r-project.org [mailto:r-help-boun...@r-project.org]
 On
 Behalf Of Bert Gunter
 Sent: Monday, October 10, 2011 7:36 PM
 To: gj
 Cc: r-help@r-project.org
 Subject: Re: [R] help with statistics in R - how to measure the effect of
 users in groups

 Assuming your data are in a data frame, yourdat,  as:

 User   Group   Value
 u1 1  !0
 u2 2 5
 u3  3  NA
 ...(etc)

 where Group is **explicitly coerced to be a factor,** then you want the
 User
 x Group interaction, obtained from

 lm( Value ~ Group*User,data = yourdat)

 However, you'll get some kind of warning message if

 a) Not all Group x User combinations are present in the data

 b) Moreover, no statistics can be calculated if there are no replicates of
 UserxGroup combinations.

 If you do not know why either of these are the case, get local help or
 study
 any linear models (regression) text or online tutorial, as these last
 issues
 have nothing to do with R.

 -- Bert


 On Mon, Oct 10, 2011 at 3:48 AM, gj gaw...@gmail.com wrote:

  Thanks Petr. I will try it on the real data.
 
  But that will only show that the groups are different or not.
  Is there any way I can test if the users are different when they are
  in different groups?
 
  Regards
  Gawesh
 
  On Mon, Oct 10, 2011 at 11:17 AM, Petr PIKAL petr.pi...@precheza.cz
  wrote:
 
   
Hi Petr,
   
It's not an equation. It's my mistake; the * are meant to be field
separators for the example data. I should have just use blank
spaces as
follows:
   
users   Group1   Group2   Group3
u110   5N/A
u2 6  N/A  4
u3 5   23
   
   
Regards
Gawesh
  
   OK. You shall transform your data to long format to use lm
  
   test - read.table(clipboard, header=T, na.strings=N/A)
   test.m-melt(test)
   Using users as id variables
   fit-lm(value~variable, data=test.m)
   summary(fit)
  
   Call:
   lm(formula = value ~ variable, data = test.m)
  
   Residuals:
 1234689
3.0 -1.0 -2.0  1.5 -1.5  0.5 -0.5
  
   Coefficients:
 Estimate Std. Error t value Pr(|t|)
   (Intercept)   7.000  1.258   5.563 0.00511 **
   variableGroup2   -3.500  1.990  -1.759 0.15336
   variableGroup3   -3.500  1.990  -1.759 0.15336
   ---
   Signif. codes:  0  ***  0.001  **  0.01  *  0.05  .  0.1 1
  
   Residual standard error: 2.179 on 4 degrees of freedom
(2 observations deleted due to missingness)
   Multiple R-squared: 0.525,  Adjusted R-squared: 0.2875
   F-statistic: 2.211 on 2 and 4 DF,  p-value: 0.2256
  
   No difference among groups, but I am not sure if this is the correct
   way to evaluate.
  
   library(ggplot2)
   p-ggplot(test.m, aes(x=variable, y=value, colour=users))
   p+geom_point()
  
   There is some sign that user3 has lowest value in each group.
   However for including users to 

Re: [R] help with statistics in R - how to measure the effect of users in groups

2011-10-10 Thread Bert Gunter
OK. So my original advice and warnings are correct.

However, now there is an additional wrinkle because your response is a
count, which is not a continuous measurement. For this, you'll need glm(...,
family = poisson) instead of lm(...), where the ... is the stuff I gave
you before. A backup approach is there aren't too many small counts (below
about 10, say) is to take the square root of the counts and analyze that via
lm().

In either approach, your interpretation becomes more difficult -- e.g. have
you any experience with glm's = generalized linear models? Moreover, if
there are large numbers of users -- e.g.  dozens (and you may have hundreds
or thousands -- of course the interaction will be significant, but so what?
For this you'll need to re-frame the question.

So given all this and what appears to be your relative ignorance of
statistics, I strongly recommend that you get local statistical help. Or
just forget about formal statistical analysis altogether and do some
sensible plotting.

Finally, that's it for me on this. I will offer you no more advice.

-- Bert

On Mon, Oct 10, 2011 at 9:40 AM, gj gaw...@gmail.com wrote:

 Hi Bert,

 The real situation is like what you suggested, user x group interactions.
 The users can be in more than one group.
 In fact, the data that I am trying to analyse constitute of users, online
 forums as groups and the attribute under measure is the number of posts made
 by each user in a particular forum.

 My hypothesis is that the number of posts a user makes to a forum is
 dependent on the forum. For example if the user is in a forum that is active
 he contributes more compared to when he is in a forum that is less active. I
 guess there will be some users who contribute the same irrespective of the
 forum.

 I hope this makes sense.

 Regards
 Gawesh

 On Mon, Oct 10, 2011 at 4:50 PM, Bert Gunter gunter.ber...@gene.comwrote:

 Yes, of course. But then one gets into additional problems with carryover
 effects,etc.
 Also, one then has a repeated measures problem (User is the experimental
 unit) and my previous advice is nonsense,

 Like you, I have no idea what his real situation is.

 -- Bert


 On Mon, Oct 10, 2011 at 8:39 AM, Anupam anupa...@gmail.com wrote:

 It is possible to give multiple treatments, one at a time, to same pool
 of patients. You are correct that interactions may be important in this
 problem. I am only trying to help him frame the problem using an analogy.
 

 ** **

 Anupam.

 *From:* Bert Gunter [mailto:gunter.ber...@gene.com]
 *Sent:* Monday, October 10, 2011 8:21 PM
 *To:* Anupam
 *Cc:* gj
 *Subject:* Re: [R] help with statistics in R - how to measure the effect
 of users in groups

 ** **

 If that is the case, and each user can appear in only one group, there is
 no group x user interaction, the poster's question was nonsense, and one
 analyzes the group effect only, as originally shown

 -- Bert

 On Mon, Oct 10, 2011 at 7:43 AM, Anupam anupa...@gmail.com wrote:

 Groups are different treatments given to Users for your Outcome
 (measurement) of interest. Take this idea forward and you will have an
 answer.

 Anupam.
 -Original Message-
 From: r-help-boun...@r-project.org [mailto:r-help-boun...@r-project.org]
 On
 Behalf Of Bert Gunter
 Sent: Monday, October 10, 2011 7:36 PM
 To: gj
 Cc: r-help@r-project.org
 Subject: Re: [R] help with statistics in R - how to measure the effect of
 users in groups

 Assuming your data are in a data frame, yourdat,  as:

 User   Group   Value
 u1 1  !0
 u2 2 5
 u3  3  NA
 ...(etc)

 where Group is **explicitly coerced to be a factor,** then you want the
 User
 x Group interaction, obtained from

 lm( Value ~ Group*User,data = yourdat)

 However, you'll get some kind of warning message if

 a) Not all Group x User combinations are present in the data

 b) Moreover, no statistics can be calculated if there are no replicates
 of
 UserxGroup combinations.

 If you do not know why either of these are the case, get local help or
 study
 any linear models (regression) text or online tutorial, as these last
 issues
 have nothing to do with R.

 -- Bert


 On Mon, Oct 10, 2011 at 3:48 AM, gj gaw...@gmail.com wrote:

  Thanks Petr. I will try it on the real data.
 
  But that will only show that the groups are different or not.
  Is there any way I can test if the users are different when they are
  in different groups?
 
  Regards
  Gawesh
 
  On Mon, Oct 10, 2011 at 11:17 AM, Petr PIKAL petr.pi...@precheza.cz
  wrote:
 
   
Hi Petr,
   
It's not an equation. It's my mistake; the * are meant to be field
separators for the example data. I should have just use blank
spaces as
follows:
   
users   Group1   Group2   Group3
u110   5N/A
u2 6  N/A  4
u3 5   23
   
   
Regards
Gawesh
  
   OK. You shall transform your data to long format to 

Re: [R] help with statistics in R - how to measure the effect of users in groups

2011-10-10 Thread Petr PIKAL
Hi

I would try either some tree method (mvpart) or you can expand lm model 
also with users. 

fit-lm(value~variable+users, data=test.m)

Anyway I am not an ultimate expert in statistics. so you shall also 
consult some appropriate literature which can be found in CRAN web. Did 
you try to look into the book I recommended? 

Petr

 Thanks Petr. I will try it on the real data.
 
 But that will only show that the groups are different or not.
 Is there any way I can test if the users are different when they are in 
 different groups? 
 
 Regards
 Gawesh
 
 On Mon, Oct 10, 2011 at 11:17 AM, Petr PIKAL petr.pi...@precheza.cz 
wrote:
 
  Hi Petr,
 
  It's not an equation. It's my mistake; the * are meant to be field
  separators for the example data. I should have just use blank spaces 
as
  follows:
 
  users   Group1   Group2   Group3
  u110   5N/A
  u2 6  N/A  4
  u3 5   23
 
 
  Regards
  Gawesh

 OK. You shall transform your data to long format to use lm
 
 test - read.table(clipboard, header=T, na.strings=N/A)
 test.m-melt(test)
 Using users as id variables
 fit-lm(value~variable, data=test.m)
 summary(fit)
 
 Call:
 lm(formula = value ~ variable, data = test.m)
 
 Residuals:
   1234689
  3.0 -1.0 -2.0  1.5 -1.5  0.5 -0.5
 
 Coefficients:
   Estimate Std. Error t value Pr(|t|)
 (Intercept)   7.000  1.258   5.563 0.00511 **
 variableGroup2   -3.500  1.990  -1.759 0.15336
 variableGroup3   -3.500  1.990  -1.759 0.15336
 ---
 Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
 
 Residual standard error: 2.179 on 4 degrees of freedom
  (2 observations deleted due to missingness)
 Multiple R-squared: 0.525,  Adjusted R-squared: 0.2875
 F-statistic: 2.211 on 2 and 4 DF,  p-value: 0.2256
 
 No difference among groups, but I am not sure if this is the correct way
 to evaluate.
 
 library(ggplot2)
 p-ggplot(test.m, aes(x=variable, y=value, colour=users))
 p+geom_point()
 
 There is some sign that user3 has lowest value in each group. However 
for
 including users to fit there is not enough data.
 
 Regards
 Petr
 
 
 
 
  On Mon, Oct 10, 2011 at 9:32 AM, Petr PIKAL petr.pi...@precheza.cz
 wrote:
 
   Hi
  
   I do not understand much about your equations. I think you shall 
look
 to
   Practical Regression and Anova Using R from J.Faraway.
  
   Having data frame DF with columns - users, groups, results you could
 do
  
   fit - lm(results~groups, data = DF)
  
   Regards
   Petr
  
  
  
  
   
Hi,
   
I'm a newbie to R. My knowledge of statistics is mostly 
self-taught.
 My
problem is how to measure the effect of users in groups. I can
 calculate
   a
particular attribute for a user in a group. But my hypothesis is
 that
   the
user's attribute is not independent of each other and that the
 user's
attribute depends on the group ie that user's behaviour change 
based
 on
   the
group.
   
Let me give an example:
   
users*Group 1*Group 2*Group 3
u1*10*5*n/a
u2*6*n/a*4
u3*5*2*3
   
For example, I want to be able to prove that u1 behaviour is
 different
   in
group 1 than other groups and the particular thing about Group 1 
is
 that
users in Group 1 tend to have a higher value of the attribute 
under
measurement.
   
   
Hence, can use R to test my hypothesis. I'm willing to learn; so 
if
 this
   is
very simple, just point me in the direction of any online 
resources
   about
it. At the moment, I don't even how to define these class of
 problems?
   That
will be a start.
   
Regards
Gawesh
   
   [[alternative HTML version deleted]]
   
__
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide
   http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.
  
  
 
 [[alternative HTML version deleted]]
 
  __
  R-help@r-project.org mailing list
  https://stat.ethz.ch/mailman/listinfo/r-help
  PLEASE do read the posting guide
 http://www.R-project.org/posting-guide.html
  and provide commented, minimal, self-contained, reproducible code.

__
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.


Re: [R] help with statistics in R - how to measure the effect of users in groups

2011-10-10 Thread Petr PIKAL
Hi

 
 OK. So my original advice and warnings are correct.
 
 However, now there is an additional wrinkle because your response is a
 count, which is not a continuous measurement. For this, you'll need 
glm(...,
 family = poisson) instead of lm(...), where the ... is the stuff I 
gave
 you before. A backup approach is there aren't too many small counts 
(below
 about 10, say) is to take the square root of the counts and analyze that 
via
 lm().
 
 In either approach, your interpretation becomes more difficult -- e.g. 
have
 you any experience with glm's = generalized linear models? Moreover, if
 there are large numbers of users -- e.g.  dozens (and you may have 
hundreds
 or thousands -- of course the interaction will be significant, but so 
what?
 For this you'll need to re-frame the question.
 
 So given all this and what appears to be your relative ignorance of
 statistics, I strongly recommend that you get local statistical help. Or
 just forget about formal statistical analysis altogether and do some
 sensible plotting.

what was actually my advice too

library(ggplot2)
p-ggplot(test.m, aes(x=variable, y=value, colour=users))
p+geom_point()

Regards
Petr


 
 Finally, that's it for me on this. I will offer you no more advice.
 
 -- Bert
 
 On Mon, Oct 10, 2011 at 9:40 AM, gj gaw...@gmail.com wrote:
 
  Hi Bert,
 
  The real situation is like what you suggested, user x group 
interactions.
  The users can be in more than one group.
  In fact, the data that I am trying to analyse constitute of users, 
online
  forums as groups and the attribute under measure is the number of 
posts made
  by each user in a particular forum.
 
  My hypothesis is that the number of posts a user makes to a forum is
  dependent on the forum. For example if the user is in a forum that is 
active
  he contributes more compared to when he is in a forum that is less 
active. I
  guess there will be some users who contribute the same irrespective of 
the
  forum.
 
  I hope this makes sense.
 
  Regards
  Gawesh
 
  On Mon, Oct 10, 2011 at 4:50 PM, Bert Gunter 
gunter.ber...@gene.comwrote:
 
  Yes, of course. But then one gets into additional problems with 
carryover
  effects,etc.
  Also, one then has a repeated measures problem (User is the 
experimental
  unit) and my previous advice is nonsense,
 
  Like you, I have no idea what his real situation is.
 
  -- Bert
 
 
  On Mon, Oct 10, 2011 at 8:39 AM, Anupam anupa...@gmail.com wrote:
 
  It is possible to give multiple treatments, one at a time, to same 
pool
  of patients. You are correct that interactions may be important in 
this
  problem. I am only trying to help him frame the problem using an 
analogy.
  
 
  ** **
 
  Anupam.
 
  *From:* Bert Gunter [mailto:gunter.ber...@gene.com]
  *Sent:* Monday, October 10, 2011 8:21 PM
  *To:* Anupam
  *Cc:* gj
  *Subject:* Re: [R] help with statistics in R - how to measure the 
effect
  of users in groups
 
  ** **
 
  If that is the case, and each user can appear in only one group, 
there is
  no group x user interaction, the poster's question was nonsense, and 
one
  analyzes the group effect only, as originally shown
 
  -- Bert
 
  On Mon, Oct 10, 2011 at 7:43 AM, Anupam anupa...@gmail.com 
wrote:
 
  Groups are different treatments given to Users for your Outcome
  (measurement) of interest. Take this idea forward and you will have 
an
  answer.
 
  Anupam.
  -Original Message-
  From: r-help-boun...@r-project.org [
mailto:r-help-boun...@r-project.org]
  On
  Behalf Of Bert Gunter
  Sent: Monday, October 10, 2011 7:36 PM
  To: gj
  Cc: r-help@r-project.org
  Subject: Re: [R] help with statistics in R - how to measure the 
effect of
  users in groups
 
  Assuming your data are in a data frame, yourdat,  as:
 
  User   Group   Value
  u1 1  !0
  u2 2 5
  u3  3  NA
  ...(etc)
 
  where Group is **explicitly coerced to be a factor,** then you want 
the
  User
  x Group interaction, obtained from
 
  lm( Value ~ Group*User,data = yourdat)
 
  However, you'll get some kind of warning message if
 
  a) Not all Group x User combinations are present in the data
 
  b) Moreover, no statistics can be calculated if there are no 
replicates
  of
  UserxGroup combinations.
 
  If you do not know why either of these are the case, get local help 
or
  study
  any linear models (regression) text or online tutorial, as these 
last
  issues
  have nothing to do with R.
 
  -- Bert
 
 
  On Mon, Oct 10, 2011 at 3:48 AM, gj gaw...@gmail.com wrote:
 
   Thanks Petr. I will try it on the real data.
  
   But that will only show that the groups are different or not.
   Is there any way I can test if the users are different when they 
are
   in different groups?
  
   Regards
   Gawesh
  
   On Mon, Oct 10, 2011 at 11:17 AM, Petr PIKAL 
petr.pi...@precheza.cz
   wrote:
  

 Hi Petr,

 It's not an equation. It's my mistake; the * are meant to be 
field
 

[R] help with statistics in R - how to measure the effect of users in groups

2011-10-09 Thread gj
Hi,

I'm a newbie to R. My knowledge of statistics is mostly self-taught. My
problem is how to measure the effect of users in groups. I can calculate a
particular attribute for a user in a group. But my hypothesis is that the
user's attribute is not independent of each other and that the user's
attribute depends on the group ie that user's behaviour change based on the
group.

Let me give an example:

users*Group 1*Group 2*Group 3
u1*10*5*n/a
u2*6*n/a*4
u3*5*2*3

For example, I want to be able to prove that u1 behaviour is different in
group 1 than other groups and the particular thing about Group 1 is that
users in Group 1 tend to have a higher value of the attribute under
measurement.


Hence, can use R to test my hypothesis. I'm willing to learn; so if this is
very simple, just point me in the direction of any online resources about
it. At the moment, I don't even how to define these class of problems? That
will be a start.

Regards
Gawesh

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