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Introductory Statistics
Course Summation Introductory Statistics
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Introduction to Statistics
Graphical Descriptions of Data Numerical Descriptions of Data Discrete Probability Distributions Continuous Probability Distributions The Central Limit Theorem …
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… Confidence Intervals Confidence Intervals for Two Samples Hypothesis Testing Hypothesis Testing for Two+ Populations Regression, Inference, Model Building
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Introduction to Statistics
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Introduction to Statistics
Definition of Statistic and Statistics Population Variable Data Census Parameter Sample
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Data Classification Qualitative (Categorical) Quantitative (Numeric)
Nominal Ordinal Quantitative (Numeric) Interval Ratio Continuous Discrete
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Sampling Methods Random Sampling Stratified Sampling Cluster Sampling
Systematic Sampling Convenience Sampling Stopping Rules Replacement Representative
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Graphical Descriptions
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Graphical Displays Pie Charts Bar Charts Side-by-Side Bar Charts
Stacked Bar Charts Histogram Box-and-Whiskers Plot Stem-and-Leaf Plots
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Numerical Descriptions
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Measures of Center Mode Mean Median Outlier
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Measures of Dispersion (Spread)
Range Variance Standard Deviation Interquartile Range Coefficient of Variation Empirical Rule
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Other Measures Percentile (Quantile) Quartile Five-Number Summary
Standard Score (z-score)
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Discrete Distributions
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Discrete Random Variables
Properties of a Discrete RV Sample Space Probability Expected Value Variance, Standard Deviation
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Binomial Random Variables
Five Requirements Sample Space Probability mass function Parameters Expected value Variance
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Poisson Random Variables
Requirements Sample Space Probability mass function Parameters Expected value Variance
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Hypergeometric Random Variable
Requirements Properties
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Continuous Distributions
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Uniform Distribution Parameters Sample Space Expected Value Variance
Shape Probabilities (CDF) Quantiles
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Exponential Distribution
Parameter Sample Space Expected Value Variance Shape Probabilities (CDF) Quantiles
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Normal Distribution Parameters Sample Space Expected Value Variance
Shape Probabilities (CDF) Quantiles
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Central Limit Theorem
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The Central Limit Theorem
Statements Effects Uses
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Confidence Intervals, I
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Estimating Population Mean ( unknown)
Meaning of Confidence Interval Calculation of CI Margin of Error, E Effects of population variance on E Effects of sample size on E Effects of on E
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Estimating Population Proportion
Meaning of Confidence Interval Calculation of CI Margin of Error, E Effects of population variance on E Effects of sample size on E Effects of on E
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Estimating Population Variance
Meaning of Confidence Interval Calculation of CI Margin of Error, E Effects of population variance on E Effects of sample size on E Effects of on E
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Confidence Intervals, II
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Estimating Difference of Population Means
Meaning of Confidence Interval Calculation of CI Margin of Error, E Effects of population variance on E Effects of sample size on E Effects of on E
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Estimating Difference of Population Proportions
Meaning of Confidence Interval Calculation of CI Margin of Error, E Effects of population variance on E Effects of sample size on E Effects of on E
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Estimating Ratio of Population Variances
Meaning of Confidence Interval Calculation of CI Margin of Error, E Effects of population variance on E Effects of sample size on E Effects of on E
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Hypothesis Testing, I
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Fundamentals of Hypothesis Testing
Research hypothesis, HR Null hypothesis, H0 Alternative hypothesis, HA Test statistic Statistically significant Practically significant Level of significance, p-value
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Hypothesis Testing for One
Test statistic Rejection region p-value Assumptions of t-test Checking assumptions Wilcoxon test Assumption of Wilcoxon test Non-parametric Bootstrap
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Hypothesis Testing for One p
Test statistic Rejection region p-value Assumptions of z-test for proportions Assumptions of Binomial test
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Hypothesis Testing for One 2
Test statistic Rejection region p-value Assumptions of Chi-square test
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Hypothesis Testing, II
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Hypothesis Testing for Difference in
Test statistic Rejection region p-value Assumptions of two-sample t-test Checking assumptions Mann-Whitney test
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Hypothesis Testing for Difference in p
Test statistic Rejection region p-value Assumption of proportions test
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Hypothesis Testing for Ratio of Two 2
Test statistic Rejection region p-value Assumptions of F test for variances
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Hypothesis Testing, III
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Hypothesis Testing for Multiple Means (11.6)
Analysis of Variance (ANOVA) Interpreting p-value Assumptions of ANOVA Testing assumptions of ANOVA Alternative to ANOVA if assumptions not met
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Hypothesis Testing for Goodness-of-Fit (10.6)
Test statistic Rejection region p-value Assumptions of Chi-square GoF test
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Hypothesis Testing for Independence (10.7)
Test statistic Rejection region p-value Assumptions of Chi-square test of Independence
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Hypothesis Testing for Independence (12)
Correlation Test Regression Test Regression Line Slope and Intercept Interpreting p-value Interpreting confidence interval for slope Interpreting prediction interval for next observation
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