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SMC: Social Sciences Statistics

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SMC: Social Sciences Statistics

Social Sciences
Author
Bettina Spencer
Publisher
Saint Mary's College
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 151 sections
  1. 01: Introduction to Statistics
  2. 1.1: Basic Definitions and Concepts
  3. 1.2: Overview
  4. 1.3: Presentation of Data
  5. 1.4: Introduction to Statistics (Exercises)
  6. 02: Sampling and Data
  7. 2.1: Introduction
  8. 2.2: Definitions of Statistics, Probability, and Key Terms
  9. 2.3: Data, Sampling, and Variation in Data and Sampling
  10. 2.4: Frequency, Frequency Tables, and Levels of Measurement
  11. 2.5: Experimental Design and Ethics
  12. 2.6: Data Collection Experiment (Worksheet)
  13. 2.7: Sampling Experiment (Worksheet)
  14. 2.8: Sampling and Data (Exercises)
  15. 03: Descriptive Statistics
  16. 3.01: Prelude to Descriptive Statistics
  17. 3.02: Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs
  18. 3.03: Histograms, Frequency Polygons, and Time Series Graphs
  19. 3.04: Measures of the Location of the Data
  20. Measures of the Location of the Data (Exercises)
  21. 3.05: Box Plots
  22. 3.06: Measures of the Center of the Data
  23. 3.07: Skewness and the Mean, Median, and Mode
  24. 3.08: Measures of the Spread of the Data
  25. 3.09: Descriptive Statistics (Worksheet)
  26. 3.10: Descriptive Statistics (Exercises)
  27. 04: Graphing Distributions
  28. 4.01: Graphing Qualitative Variables
  29. 4.02: Quantitative Variables
  30. 4.03: Stem and Leaf Displays
  31. 4.04: Histograms
  32. 4.05: Frequency Polygons
  33. 4.06: Box Plots
  34. 4.07: Box Plot Demo
  35. 4.08: Bar Charts
  36. 4.09: Line Graphs
  37. 4.10: Dot Plots
  38. 4.11: Statistical Literacy
  39. 4.12: Graphing Distributions (Exercises)
  40. 05: Probability Topics
  41. 5.1: Introduction
  42. 5.2: Terminology
  43. 5.3: Independent and Mutually Exclusive Events
  44. 5.4: Two Basic Rules of Probability
  45. 5.5: Contingency Tables
  46. 5.6: Tree and Venn Diagrams
  47. 5.7: Probability Topics (Worksheet)
  48. 5.8: Probability Topics (Exericses)
  49. 06: The Normal Distribution
  50. 6.1: Prelude to The Normal Distribution
  51. 6.2: The Standard Normal Distribution
  52. The Standard Normal Distribution (Exercises)
  53. 6.3: Using the Normal Distribution
  54. 6.4: Normal Distribution - Lap Times (Worksheet)
  55. 6.5: Normal Distribution - Pinkie Length (Worksheet)
  56. 6.6: The Normal Distribution (Exercises)
  57. 07: Sampling Distributions
  58. 7.1: The Mean and Standard Deviation of the Sample Mean
  59. 7.2: The Sampling Distribution of the Sample Mean
  60. 7.3: The Sample Proportion
  61. 7.4: Sampling Distributions (Exercises)
  62. 08: Power
  63. 8.1: Introduction to Power
  64. 8.2: Example Calculations
  65. 8.3: Power Demo
  66. 8.4: Power Demo II
  67. 8.5: Factors Affecting Power
  68. 8.6: Statistical Literacy
  69. 8.7: Power (Exercises)
  70. 09: Effect Size
  71. 9.1: Prelude to Effect Size
  72. 9.2: Proportions
  73. 9.3: Difference Between Two Means
  74. 9.4: Proportion of Variance Explained
  75. 9.5: Statistical Literacy
  76. 9.6: Effect Size (Exercises)
  77. 10: Confidence Intervals
  78. 10.1: Prelude to Confidence Intervals
  79. 10.2: A Single Population Mean using the Normal Distribution
  80. A Single Population Mean using the Normal Distribution (Exercises)
  81. 10.3: A Single Population Mean using the Student t-Distribution
  82. 10.4: A Population Proportion
  83. 10.5: Confidence Interval - Home Costs (Worksheet)
  84. 10.6: Confidence Interval -Place of Birth (Worksheet)
  85. 10.7: Confidence Interval -Women's Heights (Worksheet)
  86. 10.8: Confidence Intervals (Exercises)
  87. 10.9: Confidence Intervals (Summary)
  88. 11: Hypothesis Testing with One Sample
  89. 11.1: Prelude to Hypothesis Testing
  90. 11.2: Null and Alternative Hypotheses
  91. Null and Alternative Hypotheses (Exercises)
  92. 11.3: Outcomes and the Type I and Type II Errors
  93. Outcomes and the Type I and Type II Errors (Exercises)
  94. 11.4: Distribution Needed for Hypothesis Testing
  95. Distribution Needed for Hypothesis Testing (Exercises)
  96. 11.5: Rare Events, the Sample, Decision and Conclusion
  97. Rare Events, the Sample, Decision and Conclusion (Exercises)
  98. 11.6: Additional Information and Full Hypothesis Test Examples
  99. 11.7: Hypothesis Testing of a Single Mean and Single Proportion (Worksheet)
  100. 11.8: Hypothesis Testing with One Sample (Exercises)
  101. 12: Hypothesis Testing with Two Samples
  102. 12.1: Prelude to Hypothesis Testing with Two Samples
  103. 12.2: Two Population Means with Unknown Standard Deviations
  104. 12.3: Two Population Means with Known Standard Deviations
  105. 12.4: Comparing Two Independent Population Proportions
  106. 12.5: Matched or Paired Samples
  107. 12.6: Hypothesis Testing for Two Means and Two Proportions (Worksheet)
  108. 12.7: Hypothesis Testing with Two Samples (Exercises)
  109. 13: The Chi-Square Distribution
  110. 13.01: Prelude to The Chi-Square Distribution
  111. 13.02: Facts About the Chi-Square Distribution
  112. 13.03: Goodness-of-Fit Test
  113. 13.04: Test of Independence
  114. 13.05: Test for Homogeneity
  115. 13.06: Comparison of the Chi-Square Tests
  116. 13.07: Test of a Single Variance
  117. 13.08: Lab 1: Chi-Square Goodness-of-Fit (Worksheet)
  118. 13.09: Lab 2: Chi-Square Test of Independence (Worksheet)
  119. 13.10: The Chi-Square Distribution (Exercises)
  120. 14: Linear Regression and Correlation
  121. 14.01: Prelude to Linear Regression and Correlation
  122. 14.02: Linear Equations
  123. Linear Equations (Exercises)
  124. 14.03: Scatter Plots
  125. Scatter Plots (Exercises)
  126. 14.04: The Regression Equation
  127. The Regression Equation (Exercise)
  128. 14.05: Testing the Significance of the Correlation Coefficient
  129. Testing the Significance of the Correlation Coefficient (Exercises)
  130. 14.06: Prediction
  131. Prediction (Exercises)
  132. 14.07: Outliers
  133. Outliers (Exercises)
  134. 14.08: Regression - Distance from School (Worksheet)
  135. 14.09: Regression - Textbook Cost (Worksheet)
  136. 14.10: Regression - Fuel Efficiency (Worksheet)
  137. 14.11: Linear Regression and Correlation (Exercises)
  138. 15: F Distribution and One-Way ANOVA
  139. 15.1: Prelude to F Distribution and One-Way ANOVA
  140. 15.2: One-Way ANOVA
  141. 15.3: The F Distribution and the F-Ratio
  142. 15.4: Facts About the F Distribution
  143. 15.5: Test of Two Variances
  144. 15.6: Lab: One-Way ANOVA
  145. 15.7: F Distribution and One-Way ANOVA (Exercises)
  146. 16: Advanced Graphs
  147. 16.1: Q-Q Plots
  148. 16.2: Contour Plots
  149. 16.3: 3D Plots
  150. 16.4: Statistical Literacy
  151. 16.5: Advanced Graphs (Exercises)