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Introduction | |
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What is Statistics? | |
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Variables | |
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Functions | |
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Frequency Distributions | |
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Data Description: Graphs | |
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Class Intervals and Class Limits | |
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Frequency Histograms and Relative Frequency Histograms | |
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Cumulative Frequency Distributions | |
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Types of Frequency Curves | |
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Numerical Methods of Describing Data | |
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Introduction | |
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Notation and Definitions of Means | |
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Measures of Central Tendency | |
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Quiz: Introduction - Numerical Methods of Describing Data | |
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Measures of Variability | |
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Range and Percentiles | |
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Measures of Dispersion | |
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Simplified Methods For Computing the Standard Deviation and Variance | |
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Coding Methods | |
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Moments and Parameters of Distributions | |
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Moments | |
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Coefficients of Skewness: Kurtosis | |
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Probability Theory: Basic Definitions and Theorems | |
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Classical Definition of Probability | |
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Relative Frequency: Large Numbers | |
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Independent and Dependent Events: Conditional Probability | |
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The Calculus of Probability | |
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Probability Distributions | |
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Combinational Analysis | |
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Set Theory and Probability | |
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Quiz: Measures of Variability-Probability Theory | |
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Distributions | |
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The Binomial Distribution | |
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The Multinomial Distribution | |
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The Normal Distribution | |
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The Poisson Distribution | |
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Quiz: Distributions | |
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Sampling Theory | |
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Sampling | |
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Sampling Distributions | |
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The Central Limit Theorem | |
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Sampling Distribution of Proportions | |
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Sampling Distributions of Sums and Differences | |
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Standard Errors | |
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Statistical Inference: Large Samples | |
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Estimation of Parameters | |
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Point Estimation of [mu] | |
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Interval Estimation of [mu] | |
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Test of Hypothesis | |
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Quiz: Sampling Theory-Statistical Inference | |
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Statistical Inference: Small Samples | |
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Small Samples | |
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Student's t Distribution | |
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Tests of Hypotheses and Signficance | |
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The Chi-Square Distribution | |
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Control Charts | |
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Mathematical Models Relating Independent and Dependent Variables | |
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Relationships Between Variables | |
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Probabilistic Models | |
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The Method of Least Squares | |
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General Linear Model Inferences: Correlation Theory | |
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Introduction | |
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Single Parameter | |
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Correlation | |
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Computational Formulas | |
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Quiz: Statistical Inference - General Linear Model Inferences: Correlation Theory | |
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Experimental Design | |
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Design of an Experiment | |
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Completely Randomized Design | |
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Count Data: The Chi-Square Test | |
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Count Data | |
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Definition of X[superscript 2] | |
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Contingency Tables | |
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Yates' Correction Factor: Some Helpful Formulas | |
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Time Series | |
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Time Series | |
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Relatives and Indices | |
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Analysis of Time Series | |
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Moving Averages | |
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Quiz: Experimental Design - Time Series | |