Website owner:  James Miller

Statistics

Grouped data. Frequency Table. Histogram. Frequency polygon. Relative frequency table. Cumulative frequency table. Frequency curves

Arithmetic mean. Median. Mode. Geometric mean. Harmonic mean. Root mean square or quadratic mean

Measures of dispersion. Mean deviation. Semi-interquartile range. 10-90 percentile range. Standard deviation. Coefficient of variation. Standardized variable. Standard scores.

Moments. Skewness. Kurtosis.

Elementary probability theory. Conditional probability. Independent and dependent events. Mutually exclusive events. Discrete probability distributions. Continuous probability distributions. Mathematical expectation. Combinatorial analysis. Permutations. Combinations. Binomial Formula.

Binomial, Normal, Poisson, and Multinomial Distributions

Elementary sampling theory. Sampling distribution of a statistic. Sampling distribution of means. Standard deviations, proportions, differences and sums. Standard errors.

Statistical estimation theory. Statistical inference. Sampling distribution of a statistic. Biased and unbiased estimators. Efficient and inefficient estimates. Point estimates and interval estimates. Confidence interval estimates of population parameters. Probable error.

Statistical decisions. Statistical hypotheses. Null hypotheses. Tests of hypotheses and significance. Type I and Type II errors. Level of significance. Tests involving the normal distribution. One-tailed and two-tailed tests. Operating characteristic curves. Control Charts.

Small sampling theory. Student's t distribution. The chi-square distribution. Confidence intervals. Tests of hypotheses and significance.

Chi-square test. Contingency tables. Yates' correction. Coefficient of Contingency.

Curve fitting. The method of least squares.

Regression. Regression curve. Linear correlation. Standard error of estimate. Explained and unexplained variation. Coefficient of determination. Coefficient of correlation. Product-Moment formula.