About the Companion Website |
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xv | |
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1 | (6) |
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1.1 At Whom is This Book Aimed? |
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1 | (1) |
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1.2 At What Scale of Project is This Book Aimed? |
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2 | (1) |
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1.3 Why Might This Book be Useful for You? |
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2 | (1) |
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3 | (1) |
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1.5 Computer Based Statistics Packages |
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4 | (1) |
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5 | (2) |
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7 | (10) |
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2.1 What Types of Data are There and Why Does it Matter? |
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7 | (1) |
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2.2 Continuous Measured Data |
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7 | (6) |
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2.2.1 Continuous Measured Data -- Normal and Non-Normal Distribution |
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8 | (5) |
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2.2.2 Transforming Non-Normal Data |
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13 | (1) |
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13 | (1) |
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14 | (1) |
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14 | (1) |
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2.5.1 A Continuously Varying Measure that has been Divided into a Small Number of Ranges |
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14 | (1) |
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2.5.2 Composite Scores with a Wide Range of Possible Values |
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15 | (1) |
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15 | (2) |
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3 Presenting and Summarizing Data |
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17 | (10) |
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3.1 Continuous Measured Data |
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17 | (4) |
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3.1.1 Normally Distributed Data -- Using the Mean and Standard Deviation |
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18 | (1) |
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3.1.2 Data With Outliers, e.g. Skewed Data -- Using Quartiles and the Median |
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18 | (2) |
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3.1.3 Polymodal Data -- Using the Modes |
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20 | (1) |
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21 | (2) |
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3.2.1 Ordinal Scales With a Narrow Range of Possible Values |
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22 | (1) |
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3.2.2 Ordinal Scales With a Wide Range of Possible Values |
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22 | (1) |
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3.2.3 Dividing an Ordinal Scale Into a Small Number of Ranges (e.g. Satisfactory/Unsatisfactory or Poor/Acceptable/Good) |
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22 | (1) |
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3.2.4 Summary for Ordinal Data |
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23 | (1) |
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23 | (1) |
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24 | (3) |
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Appendix 1 An Example of the Insensitivity of the Median When Used to Describe Data from an Ordinal Scale With a Narrow Range of Possible Values |
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25 | (2) |
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4 Choosing a Statistical Test |
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27 | (12) |
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4.1 Identify the Factor and Outcome |
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27 | (2) |
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4.2 Identify the Type of Data Used to Record the Relevant Factor |
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29 | (1) |
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4.3 Statistical Methods Where the Factor is Categorical |
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30 | (4) |
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4.3.1 Identify the Type of Data Used to Record the Outcome |
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30 | (1) |
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4.3.2 Is Continuous Measured Outcome Data Normally Distributed or Can It Be Transformed to Normality? |
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30 | (1) |
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4.3.3 Identify Whether Your Sets of Outcome Data Are Related or Independent |
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31 | (1) |
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4.3.4 For the Factor, How Many Levels Are Being Studied? |
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32 | (1) |
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4.3.5 Determine the Appropriate Statistical Method for Studies with a Categorical Factor |
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32 | (2) |
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4.4 Correlation and Regression with a Measured Factor |
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34 | (4) |
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4.4.1 What Type of Data Was Used to Record Your Factor and Outcome? |
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34 | (1) |
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4.4.2 When Both the Factor and the Outcome Consist of Continuous Measured Values, Select Between Pearson and Spearman Correlation |
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34 | (4) |
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4.5 Relevant Additional Material |
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38 | (1) |
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39 | (4) |
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5.1 What Is Multiple Testing and Why Does It Matter? |
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39 | (1) |
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5.2 What Can We Do to Avoid an Excessive Risk of False Positives? |
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40 | (3) |
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5.2.1 Use of Omnibus Tests |
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40 | (1) |
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5.2.2 Distinguishing Between Primary and Secondary/Exploratory Analyses |
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40 | (1) |
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5.2.3 Bonferroni Correction |
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41 | (2) |
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6 Common Issues and Pitfalls |
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43 | (12) |
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6.1 Determining Equality of Standard Deviations |
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43 | (1) |
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6.2 How Do I Know, in Advance, How Large My SD Will Be? |
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43 | (1) |
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6.3 One-Sided Versus Two-Sided Testing |
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44 | (1) |
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6.4 Pitfalls That Make Data Look More Meaningful Than It Really Is |
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45 | (2) |
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6.4.1 Too Many Decimal Places |
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45 | (2) |
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6.4.2 Percentages with Small Sample Sizes |
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47 | (1) |
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6.5 Discussion of Statistically Significant Results |
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47 | (3) |
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6.6 Discussion of Non-Significant Results |
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50 | (1) |
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6.7 Describing Effect Sizes with Non-Parametric Tests |
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51 | (1) |
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6.8 Confusing Association with a Cause and Effect Relationship |
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52 | (3) |
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7 Contingency Chi-Square Test |
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55 | (18) |
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7.1 When Is the Test Appropriate? |
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55 | (1) |
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55 | (2) |
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57 | (2) |
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57 | (1) |
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7.3.2 Clustered or Stacked Bar Charts |
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57 | (2) |
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59 | (1) |
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7.5 An Outline of the Test |
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59 | (1) |
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7.6 Planning Sample Sizes |
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59 | (1) |
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7.7 Carrying Out the Test |
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60 | (1) |
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61 | (1) |
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61 | (1) |
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7.8.2 Low Expected Frequencies -- Fisher's Exact Test |
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61 | (1) |
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7.9 Describing the Effect Size |
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61 | (3) |
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7.9.1 Absolute Risk Difference (ARD) |
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62 | (1) |
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7.9.2 Number Needed to Treat (NNT) |
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63 | (1) |
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63 | (1) |
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64 | (1) |
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7.9.5 Case: Control Studies |
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65 | (1) |
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7.10 How to Report the Analysis |
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65 | (2) |
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65 | (1) |
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66 | (1) |
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67 | (1) |
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7.11 Confounding and Logistic Regression |
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67 | (2) |
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7.11.1 Reporting the Detection of Confounding |
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68 | (1) |
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69 | (1) |
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69 | (1) |
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70 | (1) |
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7.13 Relevant Videos etc. |
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71 | (2) |
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8 Independent Samples (Two-Sample) T-Test |
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73 | (10) |
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8.1 When Is the Test Applied? |
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73 | (1) |
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73 | (2) |
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75 | (1) |
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75 | (1) |
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75 | (1) |
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75 | (3) |
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75 | (1) |
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8.4.2 Normal Distribution of the Outcome Variable Within the Two Samples |
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75 | (3) |
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8.4.3 Equal Standard Deviations |
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78 | (1) |
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78 | (1) |
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8.5 An Outline of the Test |
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78 | (1) |
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8.6 Planning Sample Sizes |
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79 | (1) |
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8.7 Carrying Out the Test |
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79 | (1) |
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8.8 Describing the Effect Size |
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79 | (1) |
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8.9 How to Describe the Test, the Statistical and Practical Significance of Your Findings in Your Report |
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80 | (1) |
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80 | (1) |
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80 | (1) |
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81 | (1) |
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8.10 Relevant Videos etc. |
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81 | (2) |
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83 | (10) |
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9.1 When Is the Test Applied? |
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83 | (1) |
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83 | (2) |
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85 | (1) |
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85 | (1) |
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85 | (1) |
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9.3.3 Divide the Outcomes into Low and High Ranges |
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85 | (1) |
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86 | (1) |
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86 | (1) |
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9.4.2 Normal Distributions and Equality of Standard Deviations |
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87 | (1) |
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87 | (1) |
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9.5 An Outline of the Test |
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87 | (1) |
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9.6 Statistical Significance |
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87 | (1) |
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9.7 Planning Sample Sizes |
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87 | (1) |
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9.8 Carrying Out the Test |
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88 | (1) |
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9.9 Describing the Effect Size |
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88 | (1) |
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9.10 How to Report the Test |
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89 | (2) |
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89 | (1) |
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89 | (1) |
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9.10.3 Discussion Section |
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90 | (1) |
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9.11 Relevant Videos etc. |
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91 | (2) |
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10 One-Way Analysis of Variance (ANOVA) -- Including Dunnett's and Tukey's Follow Up Tests |
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93 | (612) |
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10.1 When Is the Test Applied? |
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93 | (1) |
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93 | (1) |
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94 | (1) |
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94 | (1) |
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94 | (1) |
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94 | (4) |
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10.4.1 Variables Required |
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94 | (1) |
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10.4.2 Normality of Distribution for the Outcome Variable Within the Three Samples |
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95 | (1) |
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10.4.3 Standard Deviations |
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96 | (2) |
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98 | (1) |
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10.5 An Outline of the Test |
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98 | (1) |
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98 | (1) |
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10.7 Planning Sample Sizes |
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99 | (1) |
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10.8 Carrying Out the Test |
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100 | (1) |
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10.9 Describing the Effect Size |
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101 | (1) |
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10.10 How to Report the Test |
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101 | (2) |
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101 | (1) |
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102 | (1) |
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10.10.3 Discussion Section |
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102 | (1) |
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10.11 Relevant Videos etc. |
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103 | (2) |
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105 | (1) |
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11.1 When Is the Test Applied? |
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105 | (1) |
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105 | (1) |
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106 | (1) |
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106 | (1) |
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107 | (2) |
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109 | (1) |
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11.4.1 Variables Required |
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109 | (1) |
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11.4.2 Normal Distributions and Standard Deviations |
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109 | (1) |
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11.4.3 Equal Sample Sizes |
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110 | (1) |
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11.5 An Outline of the Test |
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110 | (1) |
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11.6 Planning Sample Sizes |
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110 | (1) |
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11.7 Carrying Out the Test |
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110 | (1) |
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11.8 Describing the Effect Size |
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111 | (1) |
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11.9 Determining Which Group Differs from Which Other |
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111 | (1) |
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11.10 How to Report the Test |
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111 | (3) |
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111 | (1) |
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112 | (1) |
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11.10.3 Discussion Section |
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113 | (1) |
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11.11 Relevant Videos etc. |
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114 | (1) |
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115 | (1) |
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12.1 When Is the Test Applied? |
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115 | (1) |
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115 | (1) |
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116 | (1) |
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116 | (2) |
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12.5 An Outline of the Test |
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118 | (1) |
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12.6 Planning Sample Sizes |
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118 | (1) |
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12.7 Carrying Out the Test |
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119 | (1) |
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12.8 Describing the Effect Size |
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119 | (1) |
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12.9 How to Report the Test |
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119 | (1) |
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119 | (1) |
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120 | (1) |
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12.9.3 Discussion Section |
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120 | (1) |
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12.10 Relevant Videos etc. |
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121 | (2) |
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123 | (10) |
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13.1 When Is the Test Applied? |
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123 | (2) |
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125 | (1) |
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125 | (1) |
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125 | (1) |
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125 | (1) |
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126 | (1) |
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13.4.1 Variables Required |
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126 | (1) |
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13.4.2 Normal Distribution of the Outcome Data |
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126 | (2) |
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13.4.3 Equal Standard Deviations |
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128 | (1) |
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13.4.4 Equal Sample Sizes |
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128 | (1) |
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13.5 An Outline of the Test |
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128 | (1) |
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13.6 Planning Sample Sizes |
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129 | (1) |
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13.7 Carrying Out the Test |
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129 | (1) |
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13.8 Describing the Effect Size |
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129 | (1) |
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13.9 How to Report the Test |
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130 | (1) |
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130 | (1) |
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130 | (1) |
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13.9.3 Discussion Section |
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131 | (1) |
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13.10 Relevant Videos etc. |
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131 | (2) |
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14 Wilcoxon Signed Rank Test |
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133 | (10) |
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14.1 When Is the Test Applied? |
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133 | (1) |
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134 | (1) |
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134 | (2) |
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134 | (2) |
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136 | (1) |
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136 | (1) |
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14.4.1 Variables Required |
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136 | (1) |
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14.4.2 Normal Distributions and Equal Standard Deviations |
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137 | (1) |
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14.4.3 Equal Sample Sizes |
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137 | (1) |
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14.5 An Outline of the Test |
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137 | (1) |
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14.6 Planning Sample Sizes |
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138 | (1) |
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14.7 Carrying Out the Test |
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139 | (1) |
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14.8 Describing the Effect Size |
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139 | (1) |
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14.9 How to Report the Test |
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140 | (1) |
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140 | (1) |
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140 | (1) |
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14.9.3 Discussion Section |
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141 | (1) |
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14.10 Relevant Videos etc. |
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141 | (2) |
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15 Repeated Measures Analysis of Variance |
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143 | (12) |
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15.1 When Is the Test Applied? |
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143 | (1) |
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144 | (1) |
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144 | (2) |
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15.3.1 Numerical Presentation of the Data |
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145 | (1) |
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15.3.2 Graphical Presentation of the Data |
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145 | (1) |
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146 | (2) |
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15.4.1 Variables Required |
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146 | (2) |
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15.4.2 Normal Distribution of the Outcome Data |
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148 | (1) |
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15.4.3 Equal Standard Deviations |
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148 | (1) |
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15.4.4 Equal Sample Sizes |
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148 | (1) |
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15.5 An Outline of the Test |
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148 | (1) |
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15.6 Planning Sample Sizes |
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149 | (1) |
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15.7 Carrying Out the Test |
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150 | (1) |
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15.8 Describing the Effect Size |
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150 | (1) |
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15.9 How to Report the Test |
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151 | (2) |
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151 | (1) |
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151 | (1) |
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15.9.3 Discussion Section |
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152 | (1) |
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15.10 Relevant Videos etc. |
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153 | (2) |
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155 | (110) |
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16.1 When Is the Test Applied? |
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155 | (2) |
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157 | (1) |
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157 | (3) |
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16.3.1 Bar Charts of the Outcomes at Various Stages |
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157 | (1) |
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16.3.2 Summarizing the Data via Medians or Means |
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157 | (2) |
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16.3.3 Splitting the Data at Some Critical Point in the Scale |
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159 | (1) |
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160 | (1) |
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16.4.1 Variables Required |
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160 | (1) |
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16.4.2 Normal Distribution and Standard Deviations in the Outcome Data |
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160 | (1) |
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16.4.3 Equal Sample Sizes |
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160 | (1) |
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16.5 An Outline of the Test |
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160 | (1) |
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16.6 Planning Sample Sizes |
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161 | (1) |
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161 | (1) |
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16.8 Carrying Out the Tests |
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162 | (1) |
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16.9 Describing the Effect Size |
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162 | (1) |
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16.9.1 Median or Mean Values Among the Individual Changes |
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162 | (1) |
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162 | (1) |
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16.10 How to Report the Test |
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162 | (2) |
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162 | (1) |
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163 | (1) |
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16.10.3 Discussion Section |
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164 | (1) |
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16.11 Relevant Videos etc. |
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164 | (1) |
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165 | (1) |
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165 | (1) |
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17.2 Correlation Coefficient and Statistical Significance |
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166 | (1) |
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17.3 Planning Sample Sizes |
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167 | (1) |
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17.4 Effect Size and Practical Relevance |
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167 | (2) |
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169 | (1) |
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17.6 How to Report the Analysis |
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170 | (102) |
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170 | (1) |
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170 | (1) |
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171 | (1) |
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17.7 Relevant Videos etc. |
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171 | (2) |
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173 | (1) |
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173 | (1) |
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18.2 Testing for Evidence of Inappropriate Distributions |
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174 | (1) |
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18.3 Rho and Statistical Significance |
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174 | (1) |
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18.4 An Outline of the Significance Test |
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175 | (1) |
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18.5 Planning Sample Sizes |
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175 | (1) |
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176 | (1) |
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18.7 Where Both Measures Are Ordinal |
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176 | (1) |
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18.7.1 Educational Level and Willingness to Undertake Internet Research -- An Example Where Both Measures Are Ordinal |
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176 | (1) |
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18.7.2 Presenting the Data |
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177 | (1) |
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18.7.3 Rho and Statistical Significance |
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177 | (1) |
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178 | (1) |
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18.8 How to Report Spearman Correlation Analyses |
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178 | (2) |
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178 | (1) |
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179 | (1) |
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180 | (1) |
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18.9 Relevant Videos etc. |
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180 | (1) |
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181 | (8) |
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19.1 Use of Logistic Regression with Categorical Outcomes |
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181 | (1) |
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19.2 An Outline of the Significance Test |
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182 | (1) |
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19.3 Planning Sample Sizes |
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182 | (2) |
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19.4 Results of the Analysis |
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184 | (1) |
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19.5 Describing the Effect Size |
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184 | (1) |
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19.6 How to Report the Analysis |
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185 | (2) |
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185 | (1) |
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186 | (1) |
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186 | (1) |
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19.7 Relevant Videos etc. |
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187 | (2) |
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189 | (8) |
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20.1 Appropriate Situations for the Use of Cronbach's Alpha |
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189 | (1) |
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20.2 Inappropriate Uses of Alpha |
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190 | (1) |
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190 | (1) |
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191 | (1) |
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191 | (1) |
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20.6 Performing and Interpreting the Analysis |
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192 | (1) |
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20.7 How to Report Cronbach's Alpha Analyses |
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193 | (2) |
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193 | (1) |
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194 | (1) |
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194 | (1) |
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20.7 Relevant Videos etc. |
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195 | (2) |
Glossary |
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197 | (12) |
Videos |
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209 | (2) |
Index |
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211 | |