Lecture 19 - A_B Testing.pptx - DATA 8 Spring 2019 Lecture 19 P-values A\/B Testing Slides created by John DeNero([email protected] and Ani

Lecture 19 - A_B Testing.pptx - DATA 8 Spring 2019 Lecture...

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DATA8Spring 2019Slides created by John DeNero ([email protected]) and Ani Adhikari ([email protected])Lecture 19P-values; A/B Testing
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Announcements
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Weekly GoalsMondayComparing distributionsNull and alternative hypothesesWednesdayMaking decisions with incomplete informationStatistical significance and P-values TodayError probabilityAnother chance model and an A/B test
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The P-Value of a Test
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DefinitionFormal name: observed significance levelThe P-value is the chance, under the null hypothesis, that the test statistic is equal to the value that was observed in the dataor is even further in the direction that supports the alternative.
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Swain v. AlabamaNull:The jury panel was drawn at random from a population that had 26% black men.Alternative:There were too few black men on the panel for it to look like a random sample.Test statistic:Number of black men in panel Small values of the statistic support the alternative.
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Statistic Simulated Under the NullThe P-value is the area at or to the leftof the observed value (red dot)Very close to 0%Test favors the alternative
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Mendel’s ModelNull:Each pea plant has 75% chance of being purple flowering, independently of all other plants.
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  • Fall '17
  • Statistics, Null hypothesis, Statistical hypothesis testing, Statistical significance, Ronald Fisher, Sir Ronald Fisher

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