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Introductory Statistics

External

Introductory Statistics

Statistics
Publisher
El Camino College
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 136 sections
  1. 01: Sampling and Data
  2. 1.1: Introduction
  3. 1.2: Definitions of Statistics Probability and Key Terms
  4. 1.3: Data Sampling and Variation in Data and Sampling
  5. 1.4: Frequency Frequency Tables and Levels of Measurement
  6. 1.5: Experimental Design and Ethics
  7. 1.6: Data Collection Experiment (Worksheet)
  8. 1.7: Sampling Experiment (Worksheet)
  9. 1.8: Sampling and Data (Exercises)
  10. 02: Descriptive Statistics
  11. 2.01: Prelude to Descriptive Statistics
  12. 2.02: Stem-and-Leaf Graphs (Stemplots) Line Graphs and Bar Graphs
  13. 2.03: Histograms Frequency Polygons and Time Series Graphs
  14. 2.04: Measures of the Location of the Data
  15. Measures of the Location of the Data (Exercises)
  16. 2.05: Box Plots
  17. 2.06: Measures of the Center of the Data
  18. 2.07: Skewness and the Mean Median and Mode
  19. 2.08: Measures of the Spread of the Data
  20. 2.09: Descriptive Statistics (Worksheet)
  21. 2.10: Descriptive Statistics (Exercises)
  22. 03: Probability Topics
  23. 3.1: Introduction
  24. 3.2: Terminology
  25. 3.3: Independent and Mutually Exclusive Events
  26. 3.4: Two Basic Rules of Probability
  27. 3.5: Contingency Tables
  28. 3.6: Tree and Venn Diagrams
  29. 3.7: Probability Topics (Worksheet)
  30. 3.8: Probability Topics (Exericses)
  31. 04: Discrete Random Variables
  32. 4.01: Prelude to Discrete Random Variables
  33. 4.02: Probability Distribution Function (PDF) for a Discrete Random Variable
  34. 4.03: Mean or Expected Value and Standard Deviation
  35. 4.04: Binomial Distribution
  36. 4.05: Geometric Distribution
  37. 4.06: Hypergeometric Distribution
  38. 4.07: Poisson Distribution
  39. 4.08: Discrete Distribution (Playing Card Experiment)
  40. 4.09: Discrete Distribution (Lucky Dice Experiment)
  41. 4.10: Discrete Random Variables (Exercises)
  42. 05: Continuous Random Variables
  43. 5.1: Introduction
  44. 5.2: Continuous Probability Functions
  45. 5.3: The Uniform Distribution
  46. 5.4: The Exponential Distribution
  47. 5.5: Continuous Distribution (Worksheet)
  48. 5.6: Continuous Random Variables (Exercises)
  49. 5.7: Exercises
  50. 06: The Normal Distribution
  51. 6.1: Prelude to The Normal Distribution
  52. 6.2: The Standard Normal Distribution
  53. The Standard Normal Distribution (Exercises)
  54. 6.3: Using the Normal Distribution
  55. 6.4: Normal Distribution - Lap Times (Worksheet)
  56. 6.5: Normal Distribution - Pinkie Length (Worksheet)
  57. 6.6: The Normal Distribution (Exercises)
  58. 07: The Central Limit Theorem
  59. 7.1: Prelude to the Central Limit Theorem
  60. 7.2: The Central Limit Theorem for Sample Means (Averages)
  61. The Central Limit Theorem for Sample Means (Exercises)
  62. 7.3: The Central Limit Theorem for Sums
  63. 7.4: Using the Central Limit Theorem
  64. Using the Central Limit Theorem (Exercises)
  65. 7.5: Central Limit Theorem - Pocket Change (Worksheet)
  66. 7.6: Central Limit Theorem - Cookie Recipes (Worksheet)
  67. 7.7: The Central Limit Theorem (Exercises)
  68. 08: Confidence Intervals
  69. 8.1: Prelude to Confidence Intervals
  70. 8.2: A Single Population Mean using the Normal Distribution
  71. A Single Population Mean using the Normal Distribution (Exercises)
  72. 8.3: A Single Population Mean using the Student t-Distribution
  73. 8.4: A Population Proportion
  74. 8.5: Confidence Interval - Home Costs (Worksheet)
  75. 8.6: Confidence Interval -Place of Birth (Worksheet)
  76. 8.7: Confidence Interval -Women's Heights (Worksheet)
  77. 8.8: Confidence Intervals (Exercises)
  78. 8.9: Confidence Intervals (Summary)
  79. 09: Hypothesis Testing with One Sample
  80. 9.1: Prelude to Hypothesis Testing
  81. 9.2: Null and Alternative Hypotheses
  82. Null and Alternative Hypotheses (Exercises)
  83. 9.3: Outcomes and the Type I and Type II Errors
  84. Outcomes and the Type I and Type II Errors (Exercises)
  85. 9.4: Distribution Needed for Hypothesis Testing
  86. Distribution Needed for Hypothesis Testing (Exercises)
  87. 9.5: Rare Events the Sample Decision and Conclusion
  88. Rare Events the Sample Decision and Conclusion (Exercises)
  89. 9.6: Additional Information and Full Hypothesis Test Examples
  90. 9.7: Hypothesis Testing of a Single Mean and Single Proportion (Worksheet)
  91. 9.8: Hypothesis Testing with One Sample (Exercises)
  92. 10: Hypothesis Testing with Two Samples
  93. 10.1: Prelude to Hypothesis Testing with Two Samples
  94. 10.2: Two Population Means with Unknown Standard Deviations
  95. 10.3: Two Population Means with Known Standard Deviations
  96. 10.4: Comparing Two Independent Population Proportions
  97. 10.5: Matched or Paired Samples
  98. 10.6: Hypothesis Testing for Two Means and Two Proportions (Worksheet)
  99. 10.7: Hypothesis Testing with Two Samples (Exercises)
  100. 11: The Chi-Square Distribution
  101. 11.01: Prelude to The Chi-Square Distribution
  102. 11.02: Facts About the Chi-Square Distribution
  103. 11.03: Goodness-of-Fit Test
  104. 11.04: Test of Independence
  105. 11.05: Test for Homogeneity
  106. 11.06: Comparison of the Chi-Square Tests
  107. 11.07: Test of a Single Variance
  108. 11.08: Lab 1: Chi-Square Goodness-of-Fit (Worksheet)
  109. 11.09: Lab 2: Chi-Square Test of Independence (Worksheet)
  110. 11.10: The Chi-Square Distribution (Exercises)
  111. 12: Linear Regression and Correlation
  112. 12.01: Prelude to Linear Regression and Correlation
  113. 12.02: Linear Equations
  114. Linear Equations (Exercises)
  115. 12.03: Scatter Plots
  116. Scatter Plots (Exercises)
  117. 12.04: The Regression Equation
  118. The Regression Equation (Exercise)
  119. 12.05: Testing the Significance of the Correlation Coefficient
  120. Testing the Significance of the Correlation Coefficient (Exercises)
  121. 12.06: Prediction
  122. Prediction (Exercises)
  123. 12.07: Outliers
  124. Outliers (Exercises)
  125. 12.08: Regression - Distance from School (Worksheet)
  126. 12.09: Regression - Textbook Cost (Worksheet)
  127. 12.10: Regression - Fuel Efficiency (Worksheet)
  128. 12.11: Linear Regression and Correlation (Exercises)
  129. 13: F Distribution and One-Way ANOVA
  130. 13.1: Prelude to F Distribution and One-Way ANOVA
  131. 13.2: One-Way ANOVA
  132. 13.3: The F Distribution and the F-Ratio
  133. 13.4: Facts About the F Distribution
  134. 13.5: Test of Two Variances
  135. 13.6: Lab: One-Way ANOVA
  136. 13.7: F Distribution and One-Way ANOVA (Exercises)