05.05A · Cours 5 — Tests statistiques II

Course 5 — Statistical tests II

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Statistical Tests II

1Statistical Tests II

2Steps of a Statistical Test 3Results and Properties of a Test 4Worked Example (z-test)

5Learning Objectives

Research Questions & Hypotheses

6Comparing Means — Student t-test 7Comparing Risks — Chi-square Test

Student t-test for Two Groups

8Acupuncture RCT — Study Design 9Acupuncture RCT — Hypotheses & Results 10Principle 11Test Statistic Formula 12Student t-distribution 13Rejection and Non-rejection Zones 14Acupuncture — Calculating t 15Acupuncture — Interpreting the Result 16Acupuncture — Clinical Conclusion 17Survey Application — Mean Height 18Amoxicillin RCT — Research Question 19Amoxicillin RCT — Sample Size & Power 20Amoxicillin RCT — Within-Group Results 21Amoxicillin RCT — Between-Group Comparison

Mann-Whitney Test

22When to Use Ranks 23Rank-Sum Worked Example

Chi-square Test

24Cranberry Juice — Study Data 25Principle — Observed Counts Table 26Principle — Expected vs Observed Logic 27Computing Expected Counts 28Cranberry — Expected Counts 29Chi-square Statistic Formula 30Chi-square Distribution & Cutoff 3.84 31Interpreting the Test Statistic 32Cranberry — Computing χ² = 5.2 33Cranberry — Interpreting χ² = 5.2 34Cranberry — p-value on Distribution Curve 35Larger Frequency Tables — General Rules 36Larger Tables — Specialty by Sex Example 37Fisher Exact Test (Small Samples)

38Introduction & Null Hypothesis 39Principle — Between vs Within Variance 40Survey Example — Weight by Height Category

Test Selection Guide

41Variable Type × Number of Groups 42Randomized Clinical Trials 43Association — Qualitative Exposure 44Association — Quantitative Exposure

Multiple Testing Danger

45Cumulative Type I Error Risk 46ISIS-2 — Spurious Subgroup Results

47Summary — Message of the Day 48Course Recap So Far 49Next Session Preview

05.05APage 1Statistical Tests II

Cours 5 — Tests statistiques II page 1

05.05APage 2Statistical Tests IIReviewSteps of a Statistical Test

Cours 5 — Tests statistiques II page 2

05.05APage 3Statistical Tests IIReviewResults and Properties of a Test

Cours 5 — Tests statistiques II page 3

05.05APage 4Statistical Tests IIReviewWorked Example (z-test)

Cours 5 — Tests statistiques II page 4

05.05APage 5Statistical Tests IILearning Objectives

Cours 5 — Tests statistiques II page 5

05.05APage 6Statistical Tests IIResearch Questions & HypothesesComparing Means — Student t-test

Cours 5 — Tests statistiques II page 6

05.05APage 7Statistical Tests IIResearch Questions & HypothesesComparing Risks — Chi-square Test

Cours 5 — Tests statistiques II page 7

05.05APage 8Statistical Tests IIStudent t-test for Two GroupsAcupuncture RCT — Study Design

Cours 5 — Tests statistiques II page 8

05.05APage 9Statistical Tests IIStudent t-test for Two GroupsAcupuncture RCT — Hypotheses & Results

Cours 5 — Tests statistiques II page 9

05.05APage 10Statistical Tests IIStudent t-test for Two GroupsPrinciple

Cours 5 — Tests statistiques II page 10

05.05APage 11Statistical Tests IIStudent t-test for Two GroupsTest Statistic Formula

Cours 5 — Tests statistiques II page 11

05.05APage 12Statistical Tests IIStudent t-test for Two GroupsStudent t-distribution

Cours 5 — Tests statistiques II page 12

05.05APage 13Statistical Tests IIStudent t-test for Two GroupsRejection and Non-rejection Zones

Cours 5 — Tests statistiques II page 13

05.05APage 14Statistical Tests IIStudent t-test for Two GroupsAcupuncture — Calculating t

Cours 5 — Tests statistiques II page 14

05.05APage 15Statistical Tests IIStudent t-test for Two GroupsAcupuncture — Interpreting the Result

Cours 5 — Tests statistiques II page 15

05.05APage 16Statistical Tests IIStudent t-test for Two GroupsAcupuncture — Clinical Conclusion

Cours 5 — Tests statistiques II page 16

05.05APage 17Statistical Tests IIStudent t-test for Two GroupsSurvey Application — Mean Height

Cours 5 — Tests statistiques II page 17

05.05APage 18Statistical Tests IIStudent t-test for Two GroupsAmoxicillin RCT — Research Question

Cours 5 — Tests statistiques II page 18

05.05APage 19Statistical Tests IIStudent t-test for Two GroupsAmoxicillin RCT — Sample Size & Power

Cours 5 — Tests statistiques II page 19

05.05APage 20Statistical Tests IIStudent t-test for Two GroupsAmoxicillin RCT — Within-Group Results

Cours 5 — Tests statistiques II page 20

05.05APage 21Statistical Tests IIStudent t-test for Two GroupsAmoxicillin RCT — Between-Group Comparison

Cours 5 — Tests statistiques II page 21

05.05APage 22Statistical Tests IIMann-Whitney TestWhen to Use Ranks

Cours 5 — Tests statistiques II page 22

05.05APage 23Statistical Tests IIMann-Whitney TestRank-Sum Worked Example

Cours 5 — Tests statistiques II page 23

05.05APage 24Statistical Tests IIChi-square TestCranberry Juice — Study Data

Cours 5 — Tests statistiques II page 24

05.05APage 25Statistical Tests IIChi-square TestPrinciple — Observed Counts Table

Cours 5 — Tests statistiques II page 25

05.05APage 26Statistical Tests IIChi-square TestPrinciple — Expected vs Observed Logic

Cours 5 — Tests statistiques II page 26

05.05APage 27Statistical Tests IIChi-square TestComputing Expected Counts

Cours 5 — Tests statistiques II page 27

05.05APage 28Statistical Tests IIChi-square TestCranberry — Expected Counts

Cours 5 — Tests statistiques II page 28

05.05APage 29Statistical Tests IIChi-square TestChi-square Statistic Formula

Cours 5 — Tests statistiques II page 29

05.05APage 30Statistical Tests IIChi-square TestChi-square Distribution & Cutoff 3.84

Cours 5 — Tests statistiques II page 30

05.05APage 31Statistical Tests IIChi-square TestInterpreting the Test Statistic

Cours 5 — Tests statistiques II page 31

05.05APage 32Statistical Tests IIChi-square TestCranberry — Computing χ² = 5.2

Cours 5 — Tests statistiques II page 32

05.05APage 33Statistical Tests IIChi-square TestCranberry — Interpreting χ² = 5.2

Cours 5 — Tests statistiques II page 33

05.05APage 34Statistical Tests IIChi-square TestCranberry — p-value on Distribution Curve

Cours 5 — Tests statistiques II page 34

05.05APage 35Statistical Tests IIChi-square TestLarger Frequency Tables — General Rules

Cours 5 — Tests statistiques II page 35

05.05APage 36Statistical Tests IIChi-square TestLarger Tables — Specialty by Sex Example

Cours 5 — Tests statistiques II page 36

05.05APage 37Statistical Tests IIChi-square TestFisher Exact Test (Small Samples)

Cours 5 — Tests statistiques II page 37

05.05APage 38Statistical Tests IIANOVAIntroduction & Null Hypothesis

Cours 5 — Tests statistiques II page 38

05.05APage 39Statistical Tests IIANOVAPrinciple — Between vs Within Variance

Cours 5 — Tests statistiques II page 39

05.05APage 40Statistical Tests IIANOVASurvey Example — Weight by Height Category

Cours 5 — Tests statistiques II page 40

05.05APage 41Statistical Tests IITest Selection GuideVariable Type × Number of Groups

Cours 5 — Tests statistiques II page 41

05.05APage 42Statistical Tests IITest Selection GuideRandomized Clinical Trials

Cours 5 — Tests statistiques II page 42

05.05APage 43Statistical Tests IITest Selection GuideAssociation — Qualitative Exposure

Cours 5 — Tests statistiques II page 43

05.05APage 44Statistical Tests IITest Selection GuideAssociation — Quantitative Exposure

Cours 5 — Tests statistiques II page 44

05.05APage 45Statistical Tests IIMultiple Testing DangerCumulative Type I Error Risk

Cours 5 — Tests statistiques II page 45

05.05APage 46Statistical Tests IIMultiple Testing DangerISIS-2 — Spurious Subgroup Results

Cours 5 — Tests statistiques II page 46

05.05APage 47Statistical Tests IISummary — Message of the Day

Cours 5 — Tests statistiques II page 47

05.05APage 48Statistical Tests IICourse Recap So Far

Cours 5 — Tests statistiques II page 48

05.05APage 49Statistical Tests IINext Session Preview

Cours 5 — Tests statistiques II page 49