Dear all, I would like to know which is the right way to check the normality assumption for performing ANOVA. How do you check normality for the following example?
I did an experiment where people had to evaluate on a 7 point scale, the degree of realism of some stimuli presented in 2 conditions. The problem is that if I check normality with the Shapiro test I get that the data are not normally distributed. Someone suggested me that I don´t have to check the normality of the data, but the normality of the residuals I get after the fitting of the linear model. I really ask you to help me to understand this point as I don´t find enough material online where to solve it. If the data are not normally distributed I have to use the kruskal wallys test and not the ANOVA...so please help me to understand. I make a numerical example, could you please tell me if the data in this table are normally distributed or not? Help! number stimulus condition response 1 flat_550_W_realism A 3 2 flat_550_W_realism A 3 3 flat_550_W_realism A 5 4 flat_550_W_realism A 3 5 flat_550_W_realism A 3 6 flat_550_W_realism A 3 7 flat_550_W_realism A 3 8 flat_550_W_realism A 5 9 flat_550_W_realism A 3 10 flat_550_W_realism A 3 11 flat_550_W_realism A 5 12 flat_550_W_realism A 7 13 flat_550_W_realism A 5 14 flat_550_W_realism A 2 15 flat_550_W_realism A 3 16 flat_550_W_realism AH 7 17 flat_550_W_realism AH 4 18 flat_550_W_realism AH 5 19 flat_550_W_realism AH 3 20 flat_550_W_realism AH 6 21 flat_550_W_realism AH 5 22 flat_550_W_realism AH 3 23 flat_550_W_realism AH 5 24 flat_550_W_realism AH 5 25 flat_550_W_realism AH 7 26 flat_550_W_realism AH 2 27 flat_550_W_realism AH 7 28 flat_550_W_realism AH 5 29 flat_550_W_realism AH 5 30 bump_2_step_W_realism A 1 31 bump_2_step_W_realism A 3 32 bump_2_step_W_realism A 5 33 bump_2_step_W_realism A 1 34 bump_2_step_W_realism A 3 35 bump_2_step_W_realism A 2 36 bump_2_step_W_realism A 5 37 bump_2_step_W_realism A 4 38 bump_2_step_W_realism A 4 39 bump_2_step_W_realism A 4 40 bump_2_step_W_realism A 4 41 bump_2_step_W_realism AH 3 42 bump_2_step_W_realism AH 5 43 bump_2_step_W_realism AH 1 44 bump_2_step_W_realism AH 5 45 bump_2_step_W_realism AH 4 46 bump_2_step_W_realism AH 4 47 bump_2_step_W_realism AH 5 48 bump_2_step_W_realism AH 4 49 bump_2_step_W_realism AH 3 50 bump_2_step_W_realism AH 4 51 bump_2_step_W_realism AH 5 52 bump_2_step_W_realism AH 4 53 hole_2_step_W_realism A 3 54 hole_2_step_W_realism A 3 55 hole_2_step_W_realism A 4 56 hole_2_step_W_realism A 1 57 hole_2_step_W_realism A 4 58 hole_2_step_W_realism A 3 59 hole_2_step_W_realism A 5 60 hole_2_step_W_realism A 4 61 hole_2_step_W_realism A 3 62 hole_2_step_W_realism A 4 63 hole_2_step_W_realism A 7 64 hole_2_step_W_realism A 5 65 hole_2_step_W_realism A 1 66 hole_2_step_W_realism A 4 67 hole_2_step_W_realism AH 7 68 hole_2_step_W_realism AH 5 69 hole_2_step_W_realism AH 5 70 hole_2_step_W_realism AH 1 71 hole_2_step_W_realism AH 5 72 hole_2_step_W_realism AH 5 73 hole_2_step_W_realism AH 5 74 hole_2_step_W_realism AH 2 75 hole_2_step_W_realism AH 6 76 hole_2_step_W_realism AH 5 77 hole_2_step_W_realism AH 5 78 hole_2_step_W_realism AH 6 79 bump_2_heel_toe_W_realism A 3 80 bump_2_heel_toe_W_realism A 3 81 bump_2_heel_toe_W_realism A 3 82 bump_2_heel_toe_W_realism A 2 83 bump_2_heel_toe_W_realism A 3 84 bump_2_heel_toe_W_realism A 3 85 bump_2_heel_toe_W_realism A 4 86 bump_2_heel_toe_W_realism A 3 87 bump_2_heel_toe_W_realism A 4 88 bump_2_heel_toe_W_realism A 4 89 bump_2_heel_toe_W_realism A 6 90 bump_2_heel_toe_W_realism A 5 91 bump_2_heel_toe_W_realism A 4 92 bump_2_heel_toe_W_realism AH 7 93 bump_2_heel_toe_W_realism AH 3 94 bump_2_heel_toe_W_realism AH 4 95 bump_2_heel_toe_W_realism AH 2 96 bump_2_heel_toe_W_realism AH 5 97 bump_2_heel_toe_W_realism AH 6 98 bump_2_heel_toe_W_realism AH 4 99 bump_2_heel_toe_W_realism AH 4 100 bump_2_heel_toe_W_realism AH 4 101 bump_2_heel_toe_W_realism AH 5 102 bump_2_heel_toe_W_realism AH 2 103 bump_2_heel_toe_W_realism AH 6 104 bump_2_heel_toe_W_realism AH 5 105 hole_2_heel_toe_W_realism A 3 106 hole_2_heel_toe_W_realism A 3 107 hole_2_heel_toe_W_realism A 1 108 hole_2_heel_toe_W_realism A 3 109 hole_2_heel_toe_W_realism A 3 110 hole_2_heel_toe_W_realism A 5 111 hole_2_heel_toe_W_realism A 2 112 hole_2_heel_toe_W_realism AH 5 113 hole_2_heel_toe_W_realism AH 1 114 hole_2_heel_toe_W_realism AH 3 115 hole_2_heel_toe_W_realism AH 6 116 hole_2_heel_toe_W_realism AH 5 117 hole_2_heel_toe_W_realism AH 4 118 hole_2_heel_toe_W_realism AH 4 119 hole_2_heel_toe_W_realism AH 3 120 hole_2_heel_toe_W_realism AH 3 121 hole_2_heel_toe_W_realism AH 1 122 hole_2_heel_toe_W_realism AH 5 123 bump_2_combination_W_realism A 4 124 bump_2_combination_W_realism A 2 125 bump_2_combination_W_realism A 4 126 bump_2_combination_W_realism A 1 127 bump_2_combination_W_realism A 4 128 bump_2_combination_W_realism A 4 129 bump_2_combination_W_realism A 2 130 bump_2_combination_W_realism A 4 131 bump_2_combination_W_realism A 2 132 bump_2_combination_W_realism A 4 133 bump_2_combination_W_realism A 2 134 bump_2_combination_W_realism A 6 135 bump_2_combination_W_realism AH 7 136 bump_2_combination_W_realism AH 3 137 bump_2_combination_W_realism AH 4 138 bump_2_combination_W_realism AH 1 139 bump_2_combination_W_realism AH 6 140 bump_2_combination_W_realism AH 5 141 bump_2_combination_W_realism AH 5 142 bump_2_combination_W_realism AH 6 143 bump_2_combination_W_realism AH 5 144 bump_2_combination_W_realism AH 4 145 bump_2_combination_W_realism AH 2 146 bump_2_combination_W_realism AH 4 147 bump_2_combination_W_realism AH 2 148 bump_2_combination_W_realism AH 5 149 hole_2_combination_W_realism A 5 150 hole_2_combination_W_realism A 2 151 hole_2_combination_W_realism A 4 152 hole_2_combination_W_realism A 1 153 hole_2_combination_W_realism A 5 154 hole_2_combination_W_realism A 4 155 hole_2_combination_W_realism A 3 156 hole_2_combination_W_realism A 5 157 hole_2_combination_W_realism A 2 158 hole_2_combination_W_realism A 5 159 hole_2_combination_W_realism A 5 160 hole_2_combination_W_realism A 1 161 hole_2_combination_W_realism AH 7 162 hole_2_combination_W_realism AH 5 163 hole_2_combination_W_realism AH 3 164 hole_2_combination_W_realism AH 1 165 hole_2_combination_W_realism AH 6 166 hole_2_combination_W_realism AH 4 167 hole_2_combination_W_realism AH 7 168 hole_2_combination_W_realism AH 5 169 hole_2_combination_W_realism AH 5 170 hole_2_combination_W_realism AH 2 171 hole_2_combination_W_realism AH 6 172 hole_2_combination_W_realism AH 2 173 hole_2_combination_W_realism AH 4 Thanks in advance [[alternative HTML version deleted]]
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