Table 1 Simulated data from two independent samples (Group 1 and Group 2) were used in the modelling Cases 1A-1C to determine if their population distributions differ.

From: Rethinking ratio-based normalization towards model-based approaches in heart weight analysis

Simulation case

Group

Group size

Parameter 1

Parameter 2

Error term ε

Case 1A

Group 1

n=10

N(35,3)

30 + (1.5 * Parameter 1) + ε

N(0,3)

Group 2

n=10

N(30,3)

30 + (1.5 * Parameter 1) + ε

N(0,3)

Case 1B

Group 1

n=10

N(35,3)

1.5 * Parameter 1 + ε

N(0,3)

Group 2

n=10

N(30,3)

1.5 * Parameter 1 + ε

N(0,3)

Case 1C

Group 1

n=10

N(35,3)

N(80,5)

 

Group 2

n=10

N(30,3)

N(80,5)

 

Case

How P2 is determined

1A

Related to P1, but not in a fixed proportion (sophisticated function)

1B

A simple multiple of P1 (proportional)

1C

Random, with no connection to P1 (independent)

  1. Panel A: Detailed description of cases and Panel B: The dependence of Parameter 2 (P2) and 1 (P1).