Page 5 - Basic Statistics

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Exercises 3 49

CHAPTER 4
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HYPOTHESIS TESTING 50
4.1 Hypothesis testing for single population mean 52
4.2 Hypothesis testing for two population means 59
4.2.1 Mean difference test using standard normal test 59
4.2.2 Mean difference test using t-student test 67
Exercises 4 75

CHAPTER 5
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LINEAR REGRESSION MODEL 77

5.1 The simple linear regression model 79
5.1.1 Model and estimation coefficients 79
5.1.2 Analysis of variance in the linear regression 82
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5.1.3 The coefficient of determination, r 86
5.1.4 Coefficient testing 86
5.2 The multiple linear regression model 98
5.2.1 Model and estimation coefficients 98
5.2.2 Assumptions in multiple regression 99
5.2.3 Forms of linear function of Y 103
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5.2.4 Distribution of statistics β , Y , and e 104
5.2.5 Partitioning of the sum of squares 108
5.2.6 Partial regression coefficient test 113
5.2.7 Sequential F-test 115
5.2.8 Testing of the general linear hypothesis 119
Exercises 5 124

Bibliography 130

Appendix Table 131
Table A.1 Standard Normal Distribution 132
Table A.2 t-Distribution 132
Table A.6 F Distribution 134
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Tabel A.7 X Distribution 136