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1 | (10) |
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1 | (1) |
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2 | (1) |
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1.3 Contents of Statistics |
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2 | (1) |
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3 | (2) |
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5 | (1) |
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6 | (2) |
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8 | (3) |
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2 Presentation of Statistical Data |
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11 | (18) |
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11 | (6) |
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2.2 Graphical Presentation |
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17 | (12) |
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17 | (1) |
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17 | (2) |
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19 | (1) |
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19 | (1) |
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19 | (4) |
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23 | (1) |
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23 | (4) |
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27 | (2) |
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29 | (30) |
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30 | (13) |
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30 | (8) |
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38 | (2) |
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40 | (2) |
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3.1.4 Comparison of Mean, Median, and Mode |
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42 | (1) |
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3.2 Measures of Dispersion |
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43 | (16) |
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44 | (1) |
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3.2.2 Interquartile Range (IQR) |
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44 | (3) |
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47 | (1) |
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47 | (1) |
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48 | (3) |
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3.2.6 Coefficient of Variation |
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51 | (1) |
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3.2.7 Stem-and-Leaf Diagram |
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51 | (3) |
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3.2.8 Other Measures of Dispersion |
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54 | (4) |
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58 | (1) |
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59 | (10) |
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4.1 Probability Definition |
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60 | (1) |
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4.2 Two Approaches in Calculating Probability |
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60 | (1) |
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4.3 Axioms of Probability |
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61 | (1) |
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4.4 Probability in Mutually Exclusive Events |
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61 | (1) |
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4.5 Probability in Independent Events |
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62 | (1) |
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4.6 Probability in Dependent Events (Conditional/Unconditional Probability) |
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63 | (1) |
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4.7 Probability in Non-mutually Exclusive Events |
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63 | (1) |
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4.8 Probability and Number of Possible Samples |
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64 | (5) |
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4.8.1 Sampling with Replacement |
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64 | (1) |
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4.8.2 Sampling Without Replacement (Order Important) |
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64 | (1) |
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4.8.3 Sampling Without Replacement (Order Irrelevant) |
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65 | (4) |
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5 Probability Distributions |
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69 | (32) |
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5.1 Discrete Probability Distribution |
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70 | (8) |
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5.1.1 The Binomial Distribution |
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70 | (2) |
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5.1.2 Multinomial Probability Distribution |
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72 | (2) |
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5.1.3 Hypergeometric Distribution |
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74 | (2) |
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5.1.4 Poisson Distribution |
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76 | (2) |
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78 | (1) |
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5.2 Continuous Probability Distribution |
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78 | (1) |
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5.3 The Normal Distribution |
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78 | (4) |
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5.3.1 Properties/Characteristics of Normal Distribution |
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79 | (1) |
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80 | (2) |
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82 | (2) |
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84 | (2) |
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5.6 The Chi-Square Distribution |
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86 | (3) |
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5.7 Joint Probability Distribution |
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89 | (2) |
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5.7.1 Discrete Joint Probability Distribution |
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89 | (1) |
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5.7.2 Continuous Joint Probability Distribution |
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90 | (1) |
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5.8 Data Fitting to Probability Distribution |
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91 | (10) |
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101 | (26) |
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6.1 Parameter and Statistics |
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101 | (1) |
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102 | (1) |
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6.3 Properties of Estimators |
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102 | (2) |
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103 | (1) |
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103 | (1) |
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103 | (1) |
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104 | (1) |
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6.4 Central Limit Theorem |
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104 | (1) |
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6.5 Some Examples in Estimation |
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105 | (1) |
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106 | (1) |
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6.7 Interval Estimation/Confidence Interval of the Mean of a Single Population |
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107 | (3) |
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6.8 Confidence Interval of the Difference of Means of Two Normal Populations |
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110 | (2) |
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6.9 Confidence Interval of the Variance of a Normal Population |
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112 | (1) |
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6.10 Confidence Interval of a Population Proportion |
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113 | (1) |
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6.11 Confidence Interval of the Difference of Two Population Proportions |
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114 | (1) |
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6.12 Finite Population Correction Factor |
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115 | (12) |
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127 | (44) |
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127 | (4) |
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131 | (2) |
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7.3 Hypothesis Testing---One Population Mean (Variance Known) |
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133 | (2) |
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133 | (2) |
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135 | (1) |
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7.4 Hypothesis Testing---One Population Mean (Variance Unknown---Large Sample) |
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135 | (2) |
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7.5 Hypothesis Testing---Equality of Two Population Means (Variance Known) |
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137 | (4) |
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137 | (2) |
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139 | (2) |
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7.6 Hypothesis Testing---One Population Mean (Variance Unknown) |
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141 | (3) |
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141 | (2) |
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143 | (1) |
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7.7 Hypothesis Testing---Equality of Two Population Means (Variance Unknown---Small Sample) |
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144 | (5) |
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7.7.1 Situation 1: σ21 = σ22 =σ2 |
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145 | (2) |
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7.7.2 Situation 2: σ21 ≠ σ22 |
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147 | (2) |
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7.8 Testing of Hypothesis---Population Proportion |
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149 | (8) |
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7.8.1 One Population Proportion |
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150 | (3) |
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7.8.2 Equality of Two Population Proportions |
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153 | (4) |
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7.9 Power of Hypothesis Testing |
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157 | (14) |
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171 | (12) |
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171 | (3) |
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174 | (9) |
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183 | (20) |
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183 | (6) |
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189 | (7) |
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9.2.1 The Wilcoxon Rank-Sum Test |
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190 | (4) |
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9.2.2 The Spearman Rank Correlation |
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194 | (2) |
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9.3 Nonparametric Method in Analysis of Variance |
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196 | (7) |
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201 | (2) |
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203 | (12) |
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215 | (18) |
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11.1 Simple Linear Regression Model |
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215 | (3) |
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11.2 Hypothesis Testing in Simple Linear Regression |
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218 | (2) |
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11.3 Confidence Intervals of Parameters |
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220 | (1) |
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11.4 Adequacy of the Regression Model |
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221 | (3) |
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11.4.1 Residual Analysis to Test Uncorrelated Errors |
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221 | (1) |
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11.4.2 Residual Analysis to Test Normality |
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222 | (1) |
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222 | (2) |
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11.5 Coefficient of Determination |
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224 | (1) |
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225 | (2) |
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11.7 Interpretation of Simple Regression Model |
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227 | (6) |
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233 | (12) |
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12.1 Multiple Regression Model |
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233 | (2) |
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235 | (1) |
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235 | (1) |
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12.4 Use of Dummy Variables |
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236 | (1) |
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12.5 Other Regression Models |
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236 | (9) |
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244 | (1) |
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245 | (12) |
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13.1 Advantages of Sampling |
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245 | (1) |
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13.2 Considerations Prior to Sample Survey |
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246 | (1) |
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13.3 Considerations in Sampling |
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247 | (1) |
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13.4 Principal Steps Involved in the Choice of a Sample Size |
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248 | (1) |
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13.5 Types of Commonly Used Sampling Methods |
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249 | (8) |
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13.5.1 Simple Random Sampling |
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249 | (4) |
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13.5.2 Systematic Sampling |
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253 | (1) |
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254 | (1) |
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13.5.4 Stratified Random Sampling |
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255 | (2) |
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14 Determination of Sample Size |
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257 | (20) |
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257 | (1) |
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14.2 Sample Size in the Case of Random Sampling (Continuous Data) |
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258 | (2) |
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14.3 Sample Size in Case of Simple Random Sampling (Proportion) |
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260 | (2) |
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14.4 Sample Size in the Case of Stratified Sampling (Means) |
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262 | (5) |
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14.4.1 Allocation of Equal Subsamples to All Strata |
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262 | (2) |
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14.4.2 Proportional Allocation |
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264 | (1) |
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14.4.3 Optimum Allocation |
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264 | (3) |
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14.5 Sample Size in the Case of Stratified Sampling (Proportion) |
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267 | (3) |
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14.6 Simple Cluster Sampling |
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270 | (7) |
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277 | (26) |
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278 | (4) |
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282 | (4) |
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286 | (2) |
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288 | (2) |
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290 | (13) |
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15.5.1 Laspeyres Price Index |
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291 | (1) |
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15.5.2 Paasche Price Index |
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291 | (1) |
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15.5.3 Fisher's Ideal Price Index |
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292 | (1) |
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292 | (2) |
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294 | (1) |
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15.5.6 Cost of Living/Standard of Living Index |
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295 | (3) |
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298 | (5) |
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16 Analysis of Financial Data |
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303 | (22) |
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303 | (2) |
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16.2 Calculation of Net Present Values |
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305 | (1) |
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16.3 Project Investment Data |
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306 | (2) |
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16.4 Risk and Statistical Estimation of IRR |
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308 | (3) |
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308 | (1) |
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16.4.2 Statistical Estimation of IRR |
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309 | (2) |
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16.5 Time Series Financial Data |
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311 | (2) |
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312 | (1) |
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16.6 Models for Time Series Financial Data |
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313 | (6) |
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16.6.1 Autoregressive Model |
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313 | (6) |
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319 | (2) |
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16.7.1 Forecasting Without a Model |
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319 | (1) |
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16.7.2 Forecasting Using a Model |
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320 | (1) |
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321 | (4) |
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324 | (1) |
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325 | (28) |
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17.1 Definition of Design of Experiments |
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325 | (1) |
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17.2 Terms Related to Experimental Design |
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326 | (1) |
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17.3 Procedure for Design of Experiments |
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327 | (2) |
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329 | (1) |
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17.5 Illustration of a Completely Randomized Design |
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330 | (3) |
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17.6 Illustration of a 23 Full Factorial Design |
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333 | (2) |
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335 | (3) |
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17.7.1 Procedure in the Analysis |
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335 | (1) |
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336 | (2) |
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17.8 Single Factor Experiments |
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338 | (15) |
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17.8.1 Analysis of Variance |
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338 | (2) |
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17.8.2 Tests on Individual Treatment Means |
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340 | (2) |
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17.8.3 Estimation of Treatment for Completely Randomized Design |
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342 | (1) |
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17.8.4 Multiple Factor Design |
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343 | (1) |
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17.8.5 Example of a 23 Factorial Design |
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343 | (1) |
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17.8.6 Randomized Block Design |
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344 | (9) |
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18 Statistical Quality Control |
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353 | (32) |
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353 | (1) |
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18.2 Areas of Statistical Quality Control |
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354 | (1) |
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354 | (1) |
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355 | (30) |
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18.4.1 Type of Data for Control Chart |
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355 | (1) |
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18.4.2 Types of Control Charts |
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355 | (1) |
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18.4.3 Control Limits in Control Charts |
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356 | (1) |
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18.4.4 Theoretical Basis of the Control Limits |
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356 | (1) |
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18.4.5 Control Chart for X-Bar and R |
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357 | (3) |
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18.4.6 I Chart (Individual Observation Chart) |
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360 | (2) |
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18.4.7 P Chart (Proportion Defective) |
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362 | (2) |
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18.4.8 C Chart (Control Chart for Defects) |
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364 | (2) |
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18.4.9 U Chart (Defects Per Unit) |
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366 | (2) |
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368 | (3) |
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18.4.11 Control Chart Zones |
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371 | (1) |
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18.4.12 Guide for Using Type of Control Chart |
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372 | (1) |
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373 | (5) |
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18.4.14 Summary of Control Chart Formulas |
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378 | (6) |
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384 | (1) |
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19 Summary for Hypothesis Testing |
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385 | (8) |
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385 | (5) |
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385 | (1) |
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386 | (1) |
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19.1.3 Hypothesis Testing |
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386 | (1) |
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19.1.4 Measurement of Data |
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386 | (1) |
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386 | (1) |
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387 | (1) |
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387 | (1) |
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388 | (1) |
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388 | (1) |
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19.1.10 Graph for Initial Idea |
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388 | (1) |
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388 | (1) |
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19.1.12 Parameter and Statistics |
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389 | (1) |
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389 | (1) |
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389 | (1) |
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389 | (1) |
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390 | (3) |
Statistical Tables |
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393 | (46) |
Index |
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439 | |