Statistical Analysis

Statistical Methods and Tests

Descriptive Statistics

• Measures of Central Tendency: Mean, median, mode
• Measures of Dispersion: Variance, standard deviation, range, interquartile range
• Distribution Shape: Skewness, kurtosis
• Correlation: Pearson, Spearman, Kendall correlation coefficients
• Covariance: Measure of joint variability

Probability Distributions

• Normal Distribution: Bell curve, symmetric, defined by mean and standard deviation
• Binomial Distribution: Number of successes in n independent trials
• Poisson Distribution: Number of events in fixed interval
• Exponential Distribution: Time between events in Poisson process
• Chi-Square Distribution: Sum of squared normal variables

Inferential Statistics