independent tests

Homework Update

  • No homework this week; postponed until after exam 2.

Employer Engagement

  • Employer outreach for students to understand necessary skills for the job market.
  • Focus on collaboration between students and faculty to enhance preparation.

Data Center Project

  • Introduction of a new AI data center in Donor County, New Mexico.
  • High electricity needs will require coordination with local electricity providers
  • The project has significant investment to support its development.

Data Analysis Concepts

Statistical Inference on Promotions

  • One population: Use confidence intervals and hypothesis tests using z-distribution.
  • Two populations: Calculate differences and ratios of proportions for comparison.

Odds and Odds Ratio

  • Odds = P(success) / P(failure).
  • Odds ratio compares treatment and control group odds.

Independence Test for Categorical Variables

  • Pearson Chi-Square test used to test independence.
  • Null hypothesis assumes independence; if true, expected frequencies align with observed ones.

Chi-Square Test

  • Degrees of freedom calculated as (rows - 1) x (columns - 1).
  • P-value indicates significance; small P-values suggest rejecting the null hypothesis.
  • Standardized residuals can evaluate individual contributions to independence.

Categorical Data Types

  • Nominal: No ordering, can use Pearson for analysis.
  • Ordinal: Clearly defined order, requires CMH test for analysis.

CMH Test for Ordinal Data

  • Assign scores to ordinal categories for calculation.
  • CMH test assesses associations while handling ordinal data effectively.

Multivariable Analysis

  • Regression models may be built when analyzing relationships among three or more variables.
  • Models estimate effects of variable changes and support decision making.