Computed theoretical power for N=100 and N=200 scenarios

2024-02-19 18:35:26 +01:00
parent ac9189d26a
commit 238852b08b
704 changed files with 261610 additions and 187 deletions
--- a/Modules/ado/plus/x/xsampsi.ado
+++ b/Modules/ado/plus/x/xsampsi.ado
@ -0,0 +1,56 @@
+program define xsampsi
+*version 1.0 Jan Brogger, Jan 31st 2002
+*This program will compute
+*sample size according to senn, 1991, p. 217
+	version 7.0
+	syntax , alpha(real) beta(real) delta(real) stddev(real) [ n(numlist) ]
+
+	di as text "Sample size for cross-over trial (AB/BA)"
+	di "according to Senn 1991:  'Cross-over trials in clinical research'" 
+	di "Parameters below expressed in terms of the basic estimator, the treatment contrast." _n _dup(15) "-" _n
+
+	di as text "Alpha level" _col(15) " = " as inp %4.3f `alpha' _col(25) as text "Power" _col(35) " = " as inp %4.3f (1-`beta')
+	local zalpha=invnorm(1-(`alpha' / 2))
+	local zbeta=invnorm(1-`beta')
+	di as text "Zalpha  " _col(15) " = " as res %4.3f `zalpha' _col(25) as text "Zbeta " _col(35) " = " as res %4.3f `zbeta'
+
+	di _n as text "Detectable effect size" _col(35) " = " as inp %4.3f `delta' 
+	di as text "Std.dev. of basic estimator" _col(35) " = " as inp %4.3f `stddev'
+
+	
+	local napprox = ((`zalpha'+`zbeta')^2)*((`stddev'/`delta')^2)
+	local napprox=int(`napprox')+1
+	di _n as text "Approximate N (normal) " _col(35) " = " as res %4.0f `napprox'
+
+	local tdegfree=`napprox'-2
+	local tcritical=invttail(`tdegfree',`alpha'/2)
+	di as text "Critical value of t(df=" as res `tdegfree' as text "," as res %4.3f `alpha'/2 as text ")" _col(35) " = " as res %4.3f `tcritical'
+
+	local noncent = sqrt(`napprox')*(`delta'/`stddev')
+	di as text "Noncentrality parameter of t" _col(35) " = " as res %4.3f `noncent'
+
+	cap nctprob `tcritical' `noncent' `tdegfree'
+	if _rc~=0 {
+		di as err "Need to install package 'nct' to compute non-central t distribution"
+		error 999
+	}
+
+	local power = 1-`r(p)'
+	di as text "Power given approximate N above " _col(35) " = " as res %4.3f `power'
+
+	if "`n'"=="" {
+		di as text _n "(specify other sample sizes in paramter " as inp "n(numlist)" as text " to get power for other sample sizes)"
+	}
+	else {
+		di _n as text "Sample size" _col(15) "Power"
+		foreach sampsi of numlist `n' { 			local tdegfree=`sampsi'-2
+			local tcritical=invttail(`tdegfree',`alpha'/2)
+			local noncent = sqrt(`sampsi')*(`delta'/`stddev')
+
+			qui nctprob `tcritical' `noncent' `tdegfree'
+			local power = 1-`r(p)'
+			di as res %4.0f `sampsi' _col(15) %4.3f `power'
+		}
+	}
+	
+end