STA1502 Exam
Pack 2023
LATEST QUESTIONS
AND ANSWERS
,Department of Statistics
STA1502
Statistical inference I
Study guide for STA1502
, i STA1502/1
CONTENTS
Orientation iii
STUDY UNIT 1
1.1 Introduction 1
1.2 Inference about the Difference Between Two Population Means: 1
Independent Samples
1.3 Observational and Experimental Data 18
1.4 Inference about the Difference Between Two Population Means: 19
Matched Pairs Experiment
1.5 Inference about the Ratio of Two Variances 28
1.6 Self-correcting Exercises for Unit 1 38
1.7 Solutions to Self-correcting Exercises for Unit 1 39
1.8 Learning Outcomes 46
STUDY UNIT 2
2.1 Introduction 48
2.2 Inference about the Difference Between Two Population Proportions 48
2.3 One-Way Analysis of Variance 57
2.4 Multiple Comparisons 68
2.5 Analysis of Variance experimental designs (read only) 80
2.6 Randomized Block(two-way) Analysis of Variance 81
2.7 Self-correcting Exercises for Unit 2 87
2.8 Solutions to Self-correcting Exercises for Unit 2 89
2.9 Learning Outcomes 98
STUDY UNIT 3
3.1 Chi–square test 100
3.2 Chi-squared goodness-of-fit test 101
3.3 Chi-squared test of a Contingency Table 107
3.4 Summary of test on nominal data 109
STUDY UNIT 4
4.1 Simple linear regression and correlation 118
4.2 Simple Linear Regression and Correlations 118
4.3 Diagnostic Tools for checking the regressionassumptions 122
STUDY UNIT 5
5.1 Non parametric statistics 131
5.2 The Wilcoxon Rank Sum Test: Independent Random Samples 131
, ii
5.3 Sign Test and Wilcoxon Signed Rank Sum Test 137
5.4 The Wilcoxon Signed Rank Sum Test for a matched paired experiment 147
5.5 The Kruskal–Wills H –test for completely randomized designs 151
5.6 Friedman Test for the Randomized Block Design 154
STUDY UNIT 6
6.1 Introduction 158
6.2 Components of time series 158
6.3 Smoothing techniques 160
6.4 Trend and seasonal effects 164
6.5 Introduction to forecasting 167
6.6 Forcasting models 167
Pack 2023
LATEST QUESTIONS
AND ANSWERS
,Department of Statistics
STA1502
Statistical inference I
Study guide for STA1502
, i STA1502/1
CONTENTS
Orientation iii
STUDY UNIT 1
1.1 Introduction 1
1.2 Inference about the Difference Between Two Population Means: 1
Independent Samples
1.3 Observational and Experimental Data 18
1.4 Inference about the Difference Between Two Population Means: 19
Matched Pairs Experiment
1.5 Inference about the Ratio of Two Variances 28
1.6 Self-correcting Exercises for Unit 1 38
1.7 Solutions to Self-correcting Exercises for Unit 1 39
1.8 Learning Outcomes 46
STUDY UNIT 2
2.1 Introduction 48
2.2 Inference about the Difference Between Two Population Proportions 48
2.3 One-Way Analysis of Variance 57
2.4 Multiple Comparisons 68
2.5 Analysis of Variance experimental designs (read only) 80
2.6 Randomized Block(two-way) Analysis of Variance 81
2.7 Self-correcting Exercises for Unit 2 87
2.8 Solutions to Self-correcting Exercises for Unit 2 89
2.9 Learning Outcomes 98
STUDY UNIT 3
3.1 Chi–square test 100
3.2 Chi-squared goodness-of-fit test 101
3.3 Chi-squared test of a Contingency Table 107
3.4 Summary of test on nominal data 109
STUDY UNIT 4
4.1 Simple linear regression and correlation 118
4.2 Simple Linear Regression and Correlations 118
4.3 Diagnostic Tools for checking the regressionassumptions 122
STUDY UNIT 5
5.1 Non parametric statistics 131
5.2 The Wilcoxon Rank Sum Test: Independent Random Samples 131
, ii
5.3 Sign Test and Wilcoxon Signed Rank Sum Test 137
5.4 The Wilcoxon Signed Rank Sum Test for a matched paired experiment 147
5.5 The Kruskal–Wills H –test for completely randomized designs 151
5.6 Friedman Test for the Randomized Block Design 154
STUDY UNIT 6
6.1 Introduction 158
6.2 Components of time series 158
6.3 Smoothing techniques 160
6.4 Trend and seasonal effects 164
6.5 Introduction to forecasting 167
6.6 Forcasting models 167
