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Compute the design-only break-even pilot share implied by treatment and control standard deviations.

Usage

break_even_pilot_share(sigma1, sigma0, input = c("sd", "variance"))

Arguments

sigma1

Treatment-arm standard deviation, or variance when input = "variance".

sigma0

Control-arm standard deviation, or variance when input = "variance".

input

Whether sigma1 and sigma0 are standard deviations ("sd") or variances ("variance").

Value

Numeric break-even share in [0, 0.5].

Examples

break_even_pilot_share(sigma1 = 0.35, sigma0 = 0.20)
#> [1] 0.06923077
break_even_pilot_share(sigma1 = 0.35^2, sigma0 = 0.20^2, input = "variance")
#> [1] 0.06923077