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