Noncollapsibility, confounding, and sparse-data bias.

 Part 1:

Noncollapsibility, confounding, and sparse-data bias. Part 1: The oddities of odds - Journal of Clinical Epidemiology (jclinepi.com)

Part 2:

Noncollapsibility, confounding, and sparse-data bias. Part 2: What should researchers make of persistent controversies about the odds ratio? - Journal of Clinical Epidemiology (jclinepi.com)

generalized linear model - Is there a mathematical definition of non-collapsibility? - Cross Validated (stackexchange.com)

Estimating and contextualizing the attenuation of odds ratios due to non collapsibility: Communications in Statistics - Theory and Methods: Vol 46, No 2 (tandfonline.com)

Joint cumulative distribution of X1 and X2

 

Proving law of the unconscious statistician (LOTUS) for discrete variable

 

Multiple conditions

From 

https://jonathanweisberg.org/vip/multiple-conditions.html#multiple-conditions

 9 Multiple Conditions | Odds & Ends (jonathanweisberg.org)

When to Adjust Alpha During Multiple Testing

https://www.qeios.com/read/QIH0Q1

When to Adjust Alpha During Multiple Testing - Article (v1) by Mark Rubin | Qeios

Counting number of duplicated cases by several variables

proc sort data=have(keep=key1 key2);
  by key1 key2;
run;
data want;
  do count=1 by 1 until(last.key2);
    set have;
    by key1 key2;
    end;
run;

A very clear introduction to B-SPLINES