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Introductory Statistics

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Introductory Statistics

Statistics
Author
Edward Pineda-Castro
Publisher
Los Angeles City College
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 136 sections
  1. 01: Sampling and Data
  2. 1.01: Introduction
  3. 1.02: Definitions of Statistics Probability and Key Terms
  4. 1.03: Data Sampling and Variation in Data and Sampling
  5. 1.04: Frequency Frequency Tables and Levels of Measurement
  6. 1.05: Experimental Design and Ethics
  7. 1.06: Data Collection Experiment (Worksheet)
  8. 1.07: Sampling Experiment (Worksheet)
  9. 1.08: 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. 2.4.01: 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. 3.01: Introduction
  24. 3.02: Terminology
  25. 3.03: Independent and Mutually Exclusive Events
  26. 3.04: Two Basic Rules of Probability
  27. 3.05: Contingency Tables
  28. 3.06: Tree and Venn Diagrams
  29. 3.07: Probability Topics (Worksheet)
  30. 3.08: 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. 5.01: Introduction
  44. 5.02: Continuous Probability Functions
  45. 5.03: The Uniform Distribution
  46. 5.04: The Exponential Distribution
  47. 5.05: Continuous Distribution (Worksheet)
  48. 5.06: Continuous Random Variables (Exercises)
  49. 5.07: Exercises
  50. 06: The Normal Distribution
  51. 6.01: Prelude to The Normal Distribution
  52. 6.02: The Standard Normal Distribution
  53. 6.2.01: The Standard Normal Distribution (Exercises)
  54. 6.03: Using the Normal Distribution
  55. 6.04: Normal Distribution - Lap Times (Worksheet)
  56. 6.05: Normal Distribution - Pinkie Length (Worksheet)
  57. 6.06: The Normal Distribution (Exercises)
  58. 07: The Central Limit Theorem
  59. 7.01: Prelude to the Central Limit Theorem
  60. 7.02: The Central Limit Theorem for Sample Means (Averages)
  61. 7.2.01: The Central Limit Theorem for Sample Means (Exercises)
  62. 7.03: The Central Limit Theorem for Sums
  63. 7.04: Using the Central Limit Theorem
  64. 7.4.01: Using the Central Limit Theorem (Exercises)
  65. 7.05: Central Limit Theorem - Pocket Change (Worksheet)
  66. 7.06: Central Limit Theorem - Cookie Recipes (Worksheet)
  67. 7.07: The Central Limit Theorem (Exercises)
  68. 08: Confidence Intervals
  69. 8.01: Prelude to Confidence Intervals
  70. 8.02: A Single Population Mean using the Normal Distribution
  71. 8.2.01: A Single Population Mean using the Normal Distribution (Exercises)
  72. 8.03: A Single Population Mean using the Student t-Distribution
  73. 8.04: A Population Proportion
  74. 8.05: Confidence Interval - Home Costs (Worksheet)
  75. 8.06: Confidence Interval -Place of Birth (Worksheet)
  76. 8.07: Confidence Interval -Women's Heights (Worksheet)
  77. 8.08: Confidence Intervals (Exercises)
  78. 8.09: Confidence Intervals (Summary)
  79. 09: Hypothesis Testing with One Sample
  80. 9.01: Prelude to Hypothesis Testing
  81. 9.02: Null and Alternative Hypotheses
  82. 9.2.01: Null and Alternative Hypotheses (Exercises)
  83. 9.03: Outcomes and the Type I and Type II Errors
  84. 9.3.01: Outcomes and the Type I and Type II Errors (Exercises)
  85. 9.04: Distribution Needed for Hypothesis Testing
  86. 9.4.01: Distribution Needed for Hypothesis Testing (Exercises)
  87. 9.05: Rare Events the Sample Decision and Conclusion
  88. 9.5.01: Rare Events the Sample Decision and Conclusion (Exercises)
  89. 9.06: Additional Information and Full Hypothesis Test Examples
  90. 9.07: Hypothesis Testing of a Single Mean and Single Proportion (Worksheet)
  91. 9.08: Hypothesis Testing with One Sample (Exercises)
  92. 10: Hypothesis Testing with Two Samples
  93. 10.01: Prelude to Hypothesis Testing with Two Samples
  94. 10.02: Two Population Means with Unknown Standard Deviations
  95. 10.03: Two Population Means with Known Standard Deviations
  96. 10.04: Comparing Two Independent Population Proportions
  97. 10.05: Matched or Paired Samples
  98. 10.06: Hypothesis Testing for Two Means and Two Proportions (Worksheet)
  99. 10.07: 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: F Distribution and One-Way ANOVA
  112. 12.01: Prelude to F Distribution and One-Way ANOVA
  113. 12.02: One-Way ANOVA
  114. 12.03: The F Distribution and the F-Ratio
  115. 12.04: Facts About the F Distribution
  116. 12.05: Test of Two Variances
  117. 12.06: Lab- One-Way ANOVA
  118. 12.07: F Distribution and One-Way ANOVA (Exercises)
  119. 13: Linear Regression and Correlation
  120. 13.01: Prelude to Linear Regression and Correlation
  121. 13.02: Linear Equations
  122. 13.2.01: Linear Equations (Exercises)
  123. 13.03: Scatter Plots
  124. 13.3.01: Scatter Plots (Exercises)
  125. 13.04: The Regression Equation
  126. 13.4.01: The Regression Equation (Exercise)
  127. 13.05: Testing the Significance of the Correlation Coefficient
  128. 13.5.01: Testing the Significance of the Correlation Coefficient (Exercises)
  129. 13.06: Prediction
  130. 13.6.01: Prediction (Exercises)
  131. 13.07: Outliers
  132. 13.7.01: Outliers (Exercises)
  133. 13.08: Regression - Distance from School (Worksheet)
  134. 13.09: Regression - Textbook Cost (Worksheet)
  135. 13.10: Regression - Fuel Efficiency (Worksheet)
  136. 13.11: Linear Regression and Correlation (Exercises)