Computes the matched callback rates, their confidence intervals and performs the equality tests between the candidates.
stat_mcr(x, method = "student", level = 0.95)A list with class "callback_stat" containing 4 components: specif,
counts, props and stats
specif: A list containing
convention: string "matched callback rates".
cid: convention on 3 characters.
method: the estimation method, "cp" for Clopper-Pearson, "wilson" for Wilson and "student" for "Student" (the default).
level: the level of the confidence intervals (0.95 by default).
source: the R stats function used to compute the statistics (binom.test, prop.test or t.test).
name: the name of the statistic (Fisher, Pearson or Student).
counts: a data frame with the callback counts.
tests: number of tests.
callback: number of tests with at least one callback for either candidate.
disc: number of discrimination cases.
c00: number of test without a callback.
c10: number of tests with callbacks for candidate 1 only.
c01: number of tests with callbacks for candidate 2 only.
c11: number of tests with callbacks for both candidates.
props: A data frame containing the following proportions and their
confidence intervals (when relevant)
inf_p_callback: overall callback rate, lower bound.
p_callback: overall callback rate.
sup_p_callback: overall callback rate, upper bound.
inf_p_cand1: 1st candidate callback rate, lower bound.
p_cand1: 1st candidate callback rate.
sup_p_cand1: 1st candidate callback rate, upper bound.
inf_p_cand2: 2nd candidate callback rate, lower bound.
p_cand2: 2nd candidate callback rate.
sup_p_cand2: 2nd candidate callback rate, upper bound.
inf_cand_dif: p_cand1-p_cand2, lower bound.
p_cand_dif: callback proportion difference between the candidates.
sup_cand_dif: p_cand1-p_cand2, upper bound.
stats: a data frame containing the statistics for testing the equality
of proportions.
statistic: the value of the test statistic.
p_stat: the p-value of the test statistic.
c_stat: the significance code of the test statistic.
a callback object.
estimation method, "cp" for Clopper-Pearson, "wilson" for Wilson and "student" for Student (the default).
the level of the confidence intervals (0.95 by default).
Emmanuel Duguet
Clopper, C. J. & Pearson, E. S. (1934). The use of confidence or fiducial limits illustrated in the case of the binomial. Biometrika, 26, 404–413. doi:10.2307/2331986.
Student. (1908). The Probable Error of a Mean. Biometrika, 6(1), 1–25. doi:10.2307/2331554.
Wilson, E.B. (1927). Probable inference, the law of succession, and statistical inference. Journal of the American Statistical Association, 22, 209–212. doi:10.2307/2276774.
data(labour1)
x <- callback(data=labour1,cluster="offer",candid="hist",callback="callback")
str(stat_mcr(x))
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