STA1502 EXAM PACK 2022. This is a complete and an all-inclusive guide to STA1502 Statistical Inference I. Assume equal variances.
To obtain a (1 − α)100% confidence interval estimate for the difference between the two
populations means, (µ1 − µ 2
), we compute
(x 1 − x 2) ± t α
2
;...
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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 9
1.4 Inference about the Difference Between Two Population Means: 9
Matched Pairs Experiment
1.5 Inference about the Ratio of Two Variances 19
1.6 Self-correcting Exercises for Unit 1 22
1.7 Solutions to Self-correcting Exercises for Unit 1 23
1.8 Learning Outcomes 27
STUDY UNIT 2
2.1 Introduction 28
2.2 Inference about the Difference Between Two Population Proportions 28
2.3 One-Way Analysis of Variance 34
2.4 Multiple Comparisons 43
2.5 Analysis of Variance experimental designs (read only) 47
2.6 Randomized Block(two-way) Analysis of Variance 47
2.7 Self-correcting Exercises for Unit 2 51
2.8 Solutions to Self-correcting Exercises for Unit 2 52
2.9 Learning Outcomes 55
STUDY UNIT 3
3.1 Chi–square test 57
3.2 Chi-squared goodness-of-fit test 58
3.3 Chi-squared test of a Contingency Table 62
3.4 Summary of test on nominal data 64
STUDY UNIT 4
4.1 Simple linear regression and correlation 70
4.2 Estimating the coefficients 70
4.3 Error variable: required conditions 75
4.4 Assessing the model 76
4.5 Using the regression equation 77
4.6 Regression diagnostics 77
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STUDY UNIT 5
5.1 Non parametric statistics 82
5.2 Wilcoxon Rank Sum Test 82
5.3 Sign test and Wilcoxon signed rank sum test 86
STUDY UNIT 6
6.1 Time series analysis and time series forecasting 96
6.2 Components of time series and smoothing possibilities 96
6.3 Smoothing techniques 97
6.4 Trend and seasonal effects 100
6.5 Introduction to forecasting 102
6.6 Forcasting models 102
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