STA1502 EXAM PACK 2021 2

STA1502EXAMPACK202
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, i STA1502/1


CONTENTS

Orientation iii

STUDYfUNITf1
1.1 Introduction 1
1.2 InferencefaboutfthefDifferencefBetweenfTwofPopulationfMeans: 1
IndependentfSamples
1.3 ObservationalfandfExperimentalfData 18
1.4 InferencefaboutfthefDifferencefBetweenfTwofPopulationfMeans: 19
MatchedfPairsfExperiment
1.5 InferencefaboutfthefRatiofoffTwofVariances 28
1.6 Self-correctingfExercisesfforfUnitf1 38
1.7 SolutionsftofSelf-correctingfExercisesfforfUnitf1 39
1.8 LearningfOutcomes 46

STUDYfUNITf2
2.1 Introduction 48
2.2 InferencefaboutfthefDifferencefBetweenfTwofPopulationfProportions 48
2.3 One-WayfAnalysisfoffVariance 57
2.4 MultiplefComparisons 68
2.5 AnalysisfoffVariancefexperimentalfdesignsf(readfonly) 80
2.6 RandomizedfBlock(two-way)fAnalysisfoffVariance 81
2.7 Self-correctingfExercisesfforfUnitf2 87
2.8 SolutionsftofSelf-correctingfExercisesfforfUnitf2 89
2.9 LearningfOutcomes 98

STUDYfUNITf3
3.1 Chi–squareftest 100
3.2 Chi-squaredfgoodness-of-fitftest 101
3.3 Chi-squaredftestfoffafContingencyfTable 107
3.4 Summaryfofftestfonfnominalfdata 109

STUDYfUNITf4
4.1 Simpleflinearfregressionfandfcorrelation 118
4.2 SimplefLinearfRegressionfandfCorrelations 118
4.3 DiagnosticfToolsfforfcheckingfthefregressionassumptions 122

STUDYfUNITf5
5.1 Nonfparametricfstatistics 131
5.2 ThefWilcoxonfRankfSumfTest:f IndependentfRandomfSamples 131

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5.3 SignfTestfandfWilcoxonfSignedfRankfSumfTest 137
5.4 ThefWilcoxonfSignedfRankfSumfTestfforfafmatchedfpairedfexperiment 147
5.5 ThefKruskal–Willsf Hf–testfforfcompletelyfrandomizedfdesigns 151
5.6 FriedmanfTestfforfthefRandomizedfBlockfDesign 154

STUDYfUNITf6
6.1 Introduction 158
6.2 Componentsfofftimefseries 158
6.3 Smoothingftechniques 160
6.4 Trendfandfseasonalfeffects 164
6.5 Introductionftofforecasting 167
6.6 Forcastingfmodels 167