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1 | (10) |
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The challenge of teaching introductory statistics |
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1 | (1) |
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Fitting demonstrations, examples, and projects into a course |
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1 | (2) |
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What makes a good example? |
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3 | (1) |
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Why is statistics important? |
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3 | (1) |
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4 | (1) |
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Our motivation for writing this book |
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4 | (7) |
| PART I INTRODUCTORY PROBABILITY AND STATISTICS |
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11 | (8) |
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11 | (2) |
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13 | (1) |
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14 | (1) |
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15 | (2) |
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Collecting data from students |
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17 | (2) |
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19 | (19) |
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Displaying graphs on the blackboard |
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19 | (1) |
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19 | (1) |
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World record times for the mile run |
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20 | (1) |
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Numerical variables distributions, and histograms |
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20 | (2) |
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Categorical and continuous variables |
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20 | (1) |
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21 | (1) |
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22 | (1) |
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22 | (2) |
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Average soft drink consumption |
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22 | (2) |
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24 | (1) |
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Data in more than one dimension |
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24 | (4) |
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25 | (2) |
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Who opposed the Vietnam War? |
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27 | (1) |
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The normal distribution in one and two dimensions |
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28 | (3) |
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29 | (1) |
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30 | (1) |
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30 | (1) |
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Linear transformations and linear combinations |
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31 | (1) |
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31 | (1) |
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Social and economic indexes |
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31 | (1) |
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32 | (1) |
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Logarithmic transformations |
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32 | (6) |
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Simple examples: amoebas, squares, and cubs |
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33 | (1) |
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Log-linear transformation: world population |
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33 | (2) |
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Log-log transformation: metabolic rates |
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35 | (3) |
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Linear regression and correlation |
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38 | (10) |
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Fitting linear regressions |
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38 | (5) |
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Simple examples of least squares |
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38 | (1) |
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Tall people have higher incomes |
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39 | (2) |
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Logarithm of world population |
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41 | (2) |
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43 | (2) |
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Correlations of body measurements |
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43 | (1) |
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Correlation and causation in observational data |
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44 | (1) |
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45 | (3) |
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45 | (1) |
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Exam scores, heights, and the general principle |
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46 | (2) |
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48 | (28) |
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48 | (9) |
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Sampling from the telephone book |
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48 | (4) |
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First digits and Benford's law |
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52 | (2) |
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54 | (1) |
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55 | (1) |
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56 | (1) |
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How large is your family? |
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56 | (1) |
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Class projects in survey sampling |
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57 | (9) |
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58 | (5) |
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Topics for student surveys |
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63 | (3) |
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66 | (6) |
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An experiment that looks like a survey |
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66 | (2) |
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Randomizing the order of exam questions |
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68 | (1) |
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69 | (3) |
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72 | (4) |
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The Surgeon General's report on smoking |
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73 | (1) |
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73 | (2) |
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75 | (1) |
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Statistical literacy and the news media |
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76 | (27) |
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76 | (1) |
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Assignment based on instructional packets |
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77 | (2) |
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Assignment where students find their own articles |
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79 | (3) |
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Guidelines for finding and evaluating sources |
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82 | (2) |
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Discussion and student reactions |
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84 | (1) |
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Examples of course packets |
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84 | (19) |
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A controlled experiment: IV fluids for trauma victims |
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85 | (5) |
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A sample survey: 1 in 4 youths abused, survey finds |
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90 | (3) |
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An observational study: Monster in the crib |
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93 | (5) |
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A model-based analysis: Illegal aliens put uneven load |
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98 | (5) |
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103 | (17) |
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Constructing probability examples |
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103 | (1) |
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Random numbers via dice or handouts |
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103 | (1) |
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103 | (1) |
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Random digits via handouts |
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103 | (1) |
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104 | (1) |
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104 | (1) |
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Probabilities of compound events |
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104 | (4) |
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104 | (1) |
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105 | (2) |
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107 | (1) |
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108 | (3) |
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Lengths of baseball World Series |
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108 | (2) |
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110 | (1) |
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Space shuttle failure and other rare events |
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110 | (1) |
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111 | (3) |
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What's the color on the other side of the card? |
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111 | (2) |
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Lie detectors and false positives |
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113 | (1) |
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You can load a die but you can't bias a coin flip |
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114 | (6) |
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Demonstration using plastic checkers and wooden dice |
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115 | (2) |
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Sporting events and quantitative literacy |
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117 | (1) |
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118 | (2) |
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120 | (17) |
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Weighing a ``random'' sample |
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120 | (1) |
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From probability to inference: distributions of totals and averages |
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121 | (2) |
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Where are the missing girls? |
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121 | (1) |
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122 | (1) |
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Confidence intervals: examples |
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123 | (3) |
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123 | (1) |
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124 | (1) |
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124 | (1) |
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Poll differentials: a discrete distribution |
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125 | (1) |
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Golf: can you putt like the pros? |
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126 | (1) |
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Confidence intervals: theory |
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126 | (2) |
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Coverage of confidence intervals |
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126 | (2) |
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Noncoverage of confidence intervals |
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128 | (1) |
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Hypothesis testing: z, t, and χ2 tests |
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128 | (4) |
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Hypothesis tests from examples of confidence intervals |
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129 | (1) |
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Binomial model: sampling from the phone book |
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130 | (1) |
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Hypergeometric model: taste testing |
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131 | (1) |
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Benford's law of first digits |
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131 | (1) |
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Length of baseball World Series |
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131 | (1) |
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Simple examples of applied inference |
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132 | (2) |
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132 | (1) |
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133 | (1) |
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Advanced concepts of inference |
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134 | (3) |
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Shooting baskets and statistical power |
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134 | (1) |
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Do-it-yourself data dredging |
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134 | (1) |
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135 | (2) |
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Multiple regression and nonlinear models |
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137 | (10) |
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Regression of income on height and sex |
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137 | (4) |
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Inference for regression coefficients |
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137 | (1) |
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137 | (2) |
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Regression with interactions |
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139 | (1) |
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140 | (1) |
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141 | (1) |
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Studying the fairness of random exams |
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141 | (1) |
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Measuring the reliability of exam questions |
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141 | (1) |
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A nonlinear model for golf putting |
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142 | (3) |
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143 | (1) |
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Constructing a probability model |
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143 | (1) |
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Checking the fit of the model to the data |
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144 | (1) |
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145 | (2) |
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147 | (20) |
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Examples of misleading presentations of numbers |
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147 | (6) |
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Fabricated or meaningless numbers |
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147 | (1) |
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147 | (2) |
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149 | (1) |
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Arbitrary comparisons or data dredging |
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149 | (2) |
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151 | (2) |
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153 | (2) |
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Distinguishing from other sorts of bias |
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153 | (1) |
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Some examples presented as puzzles |
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154 | (1) |
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155 | (1) |
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Reviewing the semester's material |
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155 | (1) |
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155 | (1) |
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Assignments: find the lie or create the lie |
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156 | (1) |
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1 in 2 marriages end in divorce? |
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156 | (2) |
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158 | (9) |
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Cutting corners in a medical study |
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158 | (1) |
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Searching for statistical significance |
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159 | (1) |
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Controversies about randomized experiments |
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159 | (1) |
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How important is blindness? |
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160 | (1) |
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Use of information in statistical inferences |
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161 | (6) |
| PART II PUTTING IT ALL TOGETHER |
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167 | (22) |
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167 | (4) |
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167 | (1) |
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167 | (1) |
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Fitting an activity to your class |
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168 | (1) |
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168 | (3) |
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171 | (4) |
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Setting lip effective demonstrations |
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171 | (1) |
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172 | (1) |
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Getting to know the students |
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173 | (1) |
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173 | (2) |
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Using exams to teach statistical concepts |
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175 | (1) |
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175 | (10) |
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177 | (1) |
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Organizing independent projects |
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178 | (3) |
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181 | (2) |
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Statistical design and analysis |
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183 | (2) |
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185 | (4) |
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What's in a spaghetti box? Cooking up activities from scratch |
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185 | (1) |
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186 | (1) |
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187 | (1) |
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187 | (1) |
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188 | (1) |
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Structuring an introductory statistics course |
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189 | (14) |
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Before the semester begins |
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189 | (1) |
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Finding time for student activities in class |
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190 | (1) |
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A detailed schedule for a semester-long course |
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190 | (8) |
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Outline for an alternative schedule of activities |
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198 | (5) |
| PART III MORE ADVANCED COURSES |
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Decision theory and Bayesian statistics |
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203 | (19) |
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204 | (11) |
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How many quarters are in the jar? |
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204 | (3) |
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207 | (2) |
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209 | (1) |
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What is the value of a life? |
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210 | (1) |
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Probabilistic answers to true-false questions |
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211 | (1) |
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Homework project: evaluating real-life forecasts |
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212 | (1) |
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213 | (2) |
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215 | (7) |
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215 | (1) |
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Subjective probability intervals and calibration |
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216 | (3) |
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Drawing parameters out of hat |
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219 | (1) |
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Where are the cancers? A simulation |
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219 | (1) |
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Hierarchical modeling and shrinkage |
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220 | (2) |
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Student activities in survey sampling |
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222 | (15) |
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222 | (2) |
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222 | (1) |
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223 | (1) |
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224 | (1) |
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What do random numbers look like? |
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224 | (1) |
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Random numbers from coin flips |
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224 | (1) |
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Estimation arid confidence intervals |
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225 | (1) |
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226 | (2) |
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Statistical literacy and discussion topics |
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228 | (2) |
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230 | (7) |
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Research papers on complex surveys |
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231 | (1) |
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Sampling and inference in StatCity |
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232 | (4) |
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A special topic in sampling |
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236 | (1) |
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Problems and projects in probability |
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237 | (17) |
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Setting a probability course as a, seminar |
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237 | (1) |
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238 | (3) |
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Probabilities of compound events |
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239 | (1) |
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Introducing the concept of expectation |
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240 | (1) |
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241 | (2) |
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Does the Poisson distribution fit, real data |
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243 | (1) |
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Organizing student projects |
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244 | (1) |
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Examples of structured projects |
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244 | (5) |
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Fluctuations in coin tossing---arcsine laws |
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245 | (2) |
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Recurrence and transience in Markov chains |
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247 | (2) |
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Examples of unstructured projects |
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249 | (3) |
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249 | (1) |
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Generating functions and branching processes |
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250 | (1) |
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Limit distributions of Markov chains |
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250 | (1) |
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251 | (1) |
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Research papers as projects |
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252 | (2) |
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Directed projects in a mathematical statistics course |
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254 | (11) |
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Organization of a case study |
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255 | (1) |
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Fitting the cases into a course |
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255 | (3) |
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Covering the cases in lectures |
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256 | (1) |
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256 | (1) |
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257 | (1) |
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Independent projects in a seminar course |
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257 | (1) |
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A case study: quality control |
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258 | (1) |
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A directed project: helicopter design |
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259 | (6) |
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259 | (2) |
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Designing the study and fitting a response surface |
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261 | (4) |
| Notes |
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265 | (12) |
| References |
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277 | (11) |
| Author Index |
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288 | (4) |
| Subject Index |
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292 | |