Github user feynmanliang commented on a diff in the pull request: https://github.com/apache/spark/pull/4716#discussion_r39897325 --- Diff: mllib/src/main/scala/org/apache/spark/mllib/stat/test/StreamingTestMethod.scala --- @@ -0,0 +1,165 @@ +/* + * Licensed to the Apache Software Foundation (ASF) under one or more + * contributor license agreements. See the NOTICE file distributed with + * this work for additional information regarding copyright ownership. + * The ASF licenses this file to You under the Apache License, Version 2.0 + * (the "License"); you may not use this file except in compliance with + * the License. You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +package org.apache.spark.mllib.stat.test + +import java.io.Serializable + +import scala.language.implicitConversions +import scala.math.pow + +import com.twitter.chill.MeatLocker +import org.apache.commons.math3.stat.descriptive.StatisticalSummaryValues +import org.apache.commons.math3.stat.inference.TTest + +import org.apache.spark.Logging +import org.apache.spark.streaming.dstream.DStream +import org.apache.spark.util.StatCounter + +/** + * Significance testing methods for [[StreamingTest]]. New 2-sample statistical significance tests + * should extend [[StreamingTestMethod]] and introduce a new entry in + * [[StreamingTestMethod.TEST_NAME_TO_OBJECT]] + */ +private[stat] sealed trait StreamingTestMethod extends Serializable { + + val MethodName: String + val NullHypothesis: String + + protected type SummaryPairStream = + DStream[(StatCounter, StatCounter)] + + /** + * Perform streaming 2-sample statistical significance testing. + * + * @param sampleSummaries stream pairs of summary statistics for the 2 samples + * @return stream of rest results + */ + def doTest(sampleSummaries: SummaryPairStream): DStream[StreamingTestResult] + + /** + * Implicit adapter to convert between streaming summary statistics type and the type required by + * the t-testing libraries. + */ + protected implicit def toApacheCommonsStats( + summaryStats: StatCounter): StatisticalSummaryValues = { + new StatisticalSummaryValues( + summaryStats.mean, + summaryStats.variance, + summaryStats.count, + summaryStats.max, + summaryStats.min, + summaryStats.mean * summaryStats.count + ) + } +} + +/** + * Performs Welch's 2-sample t-test. The null hypothesis is that the two data sets have equal mean. + * This test does not assume equal variance between the two samples and does not assume equal + * sample size. + * + * More information: http://en.wikipedia.org/wiki/Welch%27s_t_test + */ +private[stat] object WelchTTest extends StreamingTestMethod with Logging { + + final val MethodName = "Welch's 2-sample T-test" + final val NullHypothesis = "Both groups have same mean" + + private final val TTester = MeatLocker(new TTest()) + + def doTest(data: SummaryPairStream): DStream[StreamingTestResult] = + data.map[StreamingTestResult]((test _).tupled) + + private def test( + statsA: StatCounter, + statsB: StatCounter): StreamingTestResult = { + def welchDF(sample1: StatisticalSummaryValues, sample2: StatisticalSummaryValues): Double = { + val s1 = sample1.getVariance + val n1 = sample1.getN + val s2 = sample2.getVariance + val n2 = sample2.getN + + val a = pow(s1, 2) / n1 + val b = pow(s2, 2) / n2 + + pow(a + b, 2) / ((pow(a, 2) / (n1 - 1)) + (pow(b, 2) / (n2 - 1))) + } + + new StreamingTestResult( + TTester.get.tTest(statsA, statsB), + welchDF(statsA, statsB), + TTester.get.t(statsA, statsB), + MethodName, + NullHypothesis + ) + } +} + +/** + * Performs Students's 2-sample t-test. The null hypothesis is that the two data sets have equal + * mean. This test assumes equal variance between the two samples and does not assume equal sample + * size. For unequal variances, Welch's t-test should be used instead. + * + * More information: http://en.wikipedia.org/wiki/Student%27s_t-test + */ +private[stat] object StudentTTest extends StreamingTestMethod with Logging { + + final val MethodName = "Student's 2-sample T-test" --- End diff -- OK
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