OptSig (version 1.0)

Opt.sig.chisq.test: Optimal significance level calculation for chi-squared tests

Description

Computes the optimal significance level for chi-squared tests

Usage

Opt.sig.chisq.test(w = NULL, N = NULL, df = NULL, p = 0.5, k = 1)

Arguments

w

Effect size

N

Total number of observations

df

degree of freedom (depends on the chosen test)

p

prior probability for H0, default is p = 0.5

k

relative loss from Type I and II errors, k = L2/L1, default is k = 1

Value

alpha.opt

Optimal level of significance

beta.opt

Type II error probability at the optimal level

Details

Refer to Kim and Choi (2017) for the details of k and p

References

Kim and Choi, 2017, Choosing the Level of Significance: A Decision-theoretic Approach: https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2652773

Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Hillsdale,NJ: Lawrence Erlbaum.

Stephane Champely (2017). pwr: Basic Functions for Power Analysis. R package version 1.2-1. https://CRAN.R-project.org/package=pwr

See Also

Kim and Choi, 2017, Choosing the Level of Significance: A Decision-theoretic Approach

Examples

Run this code
# NOT RUN {
Opt.sig.chisq.test(w=0.289,df=3,N=100)
# }

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