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| Descriptive Statistics | |
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| Statistics | |
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| What is Statistics? | |
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| Measurability and Variability | |
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| Data Collection | |
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| Comparison of Probability and Statistics | |
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| Statistics and Technology | |
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| Descriptive Analysis and Presentation of Single-Variable Data | |
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| Graphical Presentation of Data | |
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| Graphs, Pareto Diagrams, and Stem-And-Leaf Displays | |
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| Frequency Distributions and Histograms | |
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| Numerical Descriptive Statistics | |
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| Measures of Central Tendency | |
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| Measures of Dispersion | |
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| Measures of Position | |
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| Interpreting and Understanding Standard Deviation | |
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| The Art of Statistical Deception | |
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| Mean and Standard Deviation of Frequency Distribution (Optional) | |
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| Descriptive Analysis and Presentation of Bivariate Data | |
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| Bivariate Data | |
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| Linear Correlation | |
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| Linear Regression.? | |
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| Probability | |
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| Probability | |
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| Probability of Events | |
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| Conditional Probability of Events | |
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| Rules of Probability | |
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| Mutually Exclusive Events | |
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| Independent Events | |
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| Mutually Exclusive, Independent Events--A Relationship? | |
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| Probability Distributions (Discrete Variables) | |
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| Random Variables | |
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| Probability Distribution of a Discrete Random Variable | |
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| Mean and Variance of a Discrete Probability Distribution | |
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| The Binomial Probability Distribution | |
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| Mean and Standard Deviation of the Binomial Distribution | |
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| Normal Probability Distributions | |
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| Normal Probability Distributions | |
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| The Standard Normal Distribution | |
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| Applications of Normal Distributions | |
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| Notation | |
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| Normal Approximation of the Binomial | |
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| Sample Variability | |
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| Sampling Distributions | |
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| The Sampling Distribution of Sample Means | |
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| Application of the Sampling Distribution of Sample Means | |
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| Inferential Statistics | |
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| Introduction to Statistical Inferences | |
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| The Nature of Estimation | |
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| Estimation of a Mean ? (s known) | |
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| The Nature of Hypothesis Testing | |
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| Hypothesis Test of Mean ? (s Known): A Probability Value Approach | |
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| Hypothesis Test of Mean ? (s Known): A Classical Approach | |
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| Inferences Involving One Population | |
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| Inferences About Mean ? (s Unknown) | |
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| Inferences About the Binomial Probability of Success | |
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| Inferences About Variance and Standard Deviation | |
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| Inferences Involving Two Populations | |
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| Independent and Dependent Samples | |
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| Inferences Concerning the Mean Difference Using Two Dependent Samples | |
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| Inferences Concerning the Difference Between Means Using Two Independent Samples | |
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| Inferences Concerning the Difference Between Proportions Using Two Independent Samples | |
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| Inferences Concerning the Ratio of Variances Using Two Independent Samples | |
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| More Inferential Statistics | |
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| Applications of Chi-Square | |
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| Chi-Square Statistic | |
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| Inferences Concerning Multinomial Experiments | |
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| Inferences Concerning Contingency Tables | |
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| Analysis of Variance | |
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| Introduction to the Analysis of Variance Technique | |
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| The Logic Behind ANOVA | |
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| Applications of Single-Factor ANOVA | |
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| Linear Correlation and Regression | |
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| Linear Correlation Analysis | |
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| Inferences About the Linear Correlation Coefficient | |
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| Linear Regression Analysis | |
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| Inferences Concerning the Slope of the Regression Line | |
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| Confidence Interval Estimates For Regression | |
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| Understanding the Relationship Between Correlation and Regression | |
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| Elements of Nonparametric Statistics | |
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| Nonparametric Statistics | |
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| Comparing Statistical Tests | |
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| The Sign Test | |
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| The Mann-Whitney U Test | |
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| The Runs Test | |
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| Rank Correlation | |
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| Subspaces of Vector Spaces | |
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| Spanning Sets and Linear Independence | |
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| Basis and Dimension | |
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| Rank of a Matrix and Systems of Linear Equations | |
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| Coordinates and Change of Basis | |
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| Applications of Vector Spaces | |
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| Inner Product Spaces | |
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| Length and Dot Product in R" | |
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| Inner Product Spaces | |
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| Orthonormal Bases: Gram-Schmidt Process | |
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| Mathematical Models and Least Squares Analysis | |
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| Applications of Inner Product Spaces | |
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| Linear Transformations | |
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| Introduction to Linear Transformations | |
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| The Kernel and Range of a Matrices for Linear Transformations | |
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| Transition Matrices and Similarity | |
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| Applications of Linear Transformations | |
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| Eigenvalues and Eigenvectors | |
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| Eigenvalues and Eigenvectors | |
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| Diagonalization | |
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| Symmetric Matrices and Orthogonal Diagonalization | |
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| Applications of Eigenvalues and Eigenvectors | |
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| Complex Vector Spaces (Online) | |
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| Complex Numbers | |
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| Conjugates and Division of Complex Numbers | |
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| Polar Form and DeMoivre's Theorem | |
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| Complex Vector Spaces and Inner Products | |
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| Unitary and Hermitian Matricies | |