STAT 578: Categorical Data Analysis

Discover how to compute the likelihood of observations exceeding a certain value in a chi-square distribution with 4 degrees of freedom. Using the binomial distribution formula, evaluate the chances of at most 3 out of 15 observations surpassing the 7.779 mark. Results highlight the intricacies of data distributions.

Explore the impact of heat treatment duration on thread breaking strength. Using statistical analysis, we assess the difference in mean strengths between batches. Confidence intervals help quantify this difference with 99% certainty.

Analyze Delaware's per capita annual income using statistical methods. Understand the probabilities associated with various income levels for a sample of state residents. Learn to use the Z score formula for such evaluations.

Explore the intricacies of evaluating cereal box weights using Z-scores and normal distribution. By examining both individual boxes and a sample mean, understand the probabilities of achieving certain weight values. Gain insights into how statistical tools help interpret real-world product claims.

Explore the actual longevity of legendary cowboys using a detailed sociological study. With data visualization and historical references, challenge popular stereotypes and understand the reality of cowboy lives in the late 19th century.

Examine a dataset that tracks student homework durations. Understand quartiles, the interquartile range, and skewness in the data. Discover insights into typical study durations and outlier behaviors.