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STAT 200: Elementary Statistics

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STAT 200: Elementary Statistics

Statistics
Author
Debbie Gaydos
Publisher
Penn State University Greater Allegheny
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 106 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: Sampling and Data (Exercises)
  8. 02: Descriptive Statistics
  9. 2.01: Prelude to Descriptive Statistics
  10. 2.02: Stem-and-Leaf Graphs (Stemplots) Line Graphs and Bar Graphs
  11. 2.03: Histograms Frequency Polygons and Time Series Graphs
  12. 2.04: Measures of the Location of the Data
  13. 2.4.01: Measures of the Location of the Data (Exercises)
  14. 2.05: Box Plots
  15. 2.06: Measures of the Center of the Data
  16. 2.07: Skewness and the Mean Median and Mode
  17. 2.08: Measures of the Spread of the Data
  18. 2.09: Descriptive Statistics (Exercises)
  19. 03: Probability Topics
  20. 3.01: Introduction
  21. 3.02: Terminology
  22. 3.03: Independent and Mutually Exclusive Events
  23. 3.04: Two Basic Rules of Probability
  24. 3.05: Contingency Tables
  25. 3.06: Tree and Venn Diagrams
  26. 3.07: Probability Topics (Exericses)
  27. 04: Discrete Random Variables
  28. 4.01: Prelude to Discrete Random Variables
  29. 4.02: Probability Distribution Function (PDF) for a Discrete Random Variable
  30. 4.03: Mean or Expected Value and Standard Deviation
  31. 4.04: Binomial Distribution
  32. 4.05: Discrete Random Variables (Exercises)
  33. 05: Continuous Random Variables
  34. 5.01: Introduction
  35. 5.02: Continuous Probability Functions
  36. 5.03: The Uniform Distribution
  37. 5.04: Exercises
  38. 06: The Normal Distribution
  39. 6.01: Prelude to The Normal Distribution
  40. 6.02: The Standard Normal Distribution
  41. 6.2.01: The Standard Normal Distribution (Exercises)
  42. 6.03: Using the Normal Distribution
  43. 6.04: The Normal Distribution (Exercises)
  44. 07: Sampling Distributions and the Central Limit Theorem
  45. 7.01: The Mean and Standard Deviation of the Sample Mean
  46. 7.02: The Sampling Distribution of the Sample Mean
  47. 7.03: The Sample Proportion
  48. 7.04: Sampling Distributions (Exercises)
  49. 08: Confidence Intervals
  50. 8.01: Prelude to Confidence Intervals
  51. 8.02: A Single Population Mean using the Normal Distribution
  52. 8.2.01: A Single Population Mean using the Normal Distribution (Exercises)
  53. 8.03: A Single Population Mean using the Student t-Distribution
  54. 8.04: A Population Proportion
  55. 8.05: Confidence Intervals (Exercises)
  56. 8.06: Confidence Intervals (Summary)
  57. 09: Hypothesis Testing with One Sample
  58. 9.01: Prelude to Hypothesis Testing
  59. 9.02: Null and Alternative Hypotheses
  60. 9.2.01: Null and Alternative Hypotheses (Exercises)
  61. 9.03: Outcomes and the Type I and Type II Errors
  62. 9.3.01: Outcomes and the Type I and Type II Errors (Exercises)
  63. 9.04: Distribution Needed for Hypothesis Testing
  64. 9.4.01: Distribution Needed for Hypothesis Testing (Exercises)
  65. 9.05: Rare Events the Sample Decision and Conclusion
  66. 9.5.01: Rare Events the Sample Decision and Conclusion (Exercises)
  67. 9.06: Additional Information and Full Hypothesis Test Examples
  68. 9.07: Hypothesis Testing with One Sample (Exercises)
  69. 10: Hypothesis Testing with Two Samples
  70. 10.01: Prelude to Hypothesis Testing with Two Samples
  71. 10.02: Two Population Means with Unknown Standard Deviations
  72. 10.03: Two Population Means with Known Standard Deviations
  73. 10.04: Comparing Two Independent Population Proportions
  74. 10.05: Matched or Paired Samples
  75. 10.06: Hypothesis Testing with Two Samples (Exercises)
  76. 11: The Chi-Square Distribution
  77. 11.01: Prelude to The Chi-Square Distribution
  78. 11.02: Facts About the Chi-Square Distribution
  79. 11.03: Goodness-of-Fit Test
  80. 11.04: Test of Independence
  81. 11.05: Test for Homogeneity
  82. 11.06: Comparison of the Chi-Square Tests
  83. 11.07: Test of a Single Variance
  84. 11.08: The Chi-Square Distribution (Exercises)
  85. 12: Linear Regression and Correlation
  86. 12.01: Prelude to Linear Regression and Correlation
  87. 12.02: Linear Equations
  88. 12.2.01: Linear Equations (Exercises)
  89. 12.03: Scatter Plots
  90. 12.3.01: Scatter Plots (Exercises)
  91. 12.04: The Regression Equation
  92. 12.4.01: The Regression Equation (Exercise)
  93. 12.05: Testing the Significance of the Correlation Coefficient
  94. 12.5.01: Testing the Significance of the Correlation Coefficient (Exercises)
  95. 12.06: Prediction
  96. 12.6.01: Prediction (Exercises)
  97. 12.07: Outliers
  98. 12.7.01: Outliers (Exercises)
  99. 12.08: Linear Regression and Correlation (Exercises)
  100. 13: F Distribution and One-Way ANOVA
  101. 13.01: Prelude to F Distribution and One-Way ANOVA
  102. 13.02: One-Way ANOVA
  103. 13.03: The F Distribution and the F-Ratio
  104. 13.04: Facts About the F Distribution
  105. 13.05: Test of Two Variances
  106. 13.06: F Distribution and One-Way ANOVA (Exercises)