Biostatistics Study NotesFrom concepts and derivations to interpretation

CHAPTER 07

Regression Analysis

Regression Analysis

LEARNING PATH

Topics in this chapter

Read by topic; each article preserves the complete explanations, formulas, and tables from the original notes.

6 topic articles
  1. 01

    Simple Linear Regression

    Learn least squares, residual diagnostics, sums-of-squares decomposition, coefficient tests, and prediction with one quantitative predictor.

    35 content blocks
  2. 02

    Pearson Correlation

    Measure linear association between two quantitative variables and connect Pearson’s r with the regression slope, R², t tests, and F tests.

    19 content blocks
  3. 03

    Fisher’s z Transformation

    Transform correlations for confidence intervals, tests against a specified population correlation, and comparisons between independent groups.

    16 content blocks
  4. 04

    Spearman Rank Correlation

    Measure monotonic association with ranks and understand ties, inference methods, and differences from Pearson correlation.

    21 content blocks
  5. 05

    Coefficient of Determination (R²)

    Interpret the proportion of variation explained by a regression model, its relationship to r², t, and F, and its important limitations.

    18 content blocks
  6. 06

    Multiple Regression

    Interpret conditional coefficients, overall and individual tests, categorical predictors, confounding adjustment, and model diagnostics.

    31 content blocks