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Table 2 Computed sample size, estimated power, and simulated power for Normal predictors with {βI, βS} = {0.3, 1.3}, {βI0, βS0} = {0, 1}, σ2 = 1, Type I error α = 0.05, and nominal power 1 – β = 0.90

From: Sample size calculations for model validation in linear regression analysis

μX

\( {\sigma}_X^2 \)

N

Simulated power

Exact approach

Approximate method

Simulated power

Error

Simulated power

Error

0

0.5

99

0.9049

0.9025

−0.0024

0.7524

−0.1525

1

76

0.8997

0.9030

0.0033

0.6257

−0.2740

2

53

0.9058

0.9050

−0.0008

0.4602

−0.4456

0.5

0.5

56

0.9029

0.9055

0.0026

0.8430

−0.0599

1

48

0.8993

0.9024

0.0031

0.7756

−0.1237

2

38

0.8997

0.9006

0.0009

0.6604

−0.2393

1

0.5

35

0.9015

0.9013

−0.0002

0.8682

−0.0333

1

33

0.9075

0.9089

0.0014

0.8445

−0.0630

2

28

0.8993

0.9016

0.0023

0.7689

−0.1304