Descriptive statistics: Central tendency statistics: arithmetic, geometric, harmonic means, median, mode. Dispersion statistics: range, sum of squares, variance, standard deviation, standard error, coefficient of variation. Probability distributions: Z, Student’s t, 2 and F. Assessment of P values.
Sampling the normal distribution: distribution of sample means and variances. Linear model. Confidence interval for a sample mean with known or unknown . Hypothesis test: concepts and procedures for the statistical tests. Type I and type II errors. Power and protection. One or two tailed tests.
Comparison between two sample means: Student’s t test for comparing a sample mean with a given value, two sample means independent or pair comparisons.
Comparison between more than two sample means: F test and one way analysis of variance. Assumptions. Transformations. Least significant differences.
Linear regression and correlation: regression equation, sources of variation in the linear regression, hypothesis test. Coefficient of correlation.