📄 nlexp3_7.ado
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*! version 1.1.4 28oct2004
program define nlexp3_7
version 6
if "`1'"=="?" {
global S_2 /*
*/ "3-parameter asymptotic regression, `e(depvar)'=b0+b1*b2^`2'"
global S_1 "b0 b1 b2"
/*
Approximate initial values by estimating upper asymptote
if growth is positive, otherwise lower asymptote ($b0).
*/
local fac 1.1 /* fudge factor for asymptote */
local exp "[`e(wtype)' `e(wexp)']"
tempvar Y
quietly {
gen `Y' = `e(depvar)' if e(sample)
sum `Y' `exp' if e(sample)
local min = r(min)
local max = r(max)
reg `Y' `2' `exp' if e(sample)
if _b[`2']>0 {
if `max'<0 { global b0 = `max'/`fac' }
else { global b0 = `max'*`fac' }
replace `Y' = log($b0-`Y')
reg `Y' `2' `exp'
global b1 = -exp(_b[_cons])
}
else {
if `min'<0 { global b0 = `min'*`fac' }
else { global b0 = `min'/`fac' }
replace `Y' = log(`Y'-$b0)
reg `Y' `2' `exp'
global b1 = exp(_b[_cons])
}
}
global b2 = exp(_b[`2'])
exit
}
replace `1'=$b0+$b1*($b2)^`2'
end
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