Function for transforming scores onto different scales

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Description

The function transforms the score metric by setting new scales' mean, standard deviation, and normalizing the distribution.

Usage

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score.transform(scores, mu.new = 0, sd.new = 1, normalize = FALSE)

Arguments

scores

Vector for examinee scores

mu.new

Desired mean of the scale

sd.new

Desired standard deviation of scales

normalize

If normailize=True, the score will be normalized applying the inverse of the cumulative distribution function of the normal distribution to the respondents percentile score.

Value

The function returns a list with two vectors: new.scores is the transformed score and p.scores is the percentile rank of every examinee. If normalize=TRUE than percentile scores are used to create a roughly normal distribution by applying an inverse cumulative normal distribution function to the p.scores.

Author(s)

John T. Willse, Zhan Shu

Examples

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# Example data provided with package
data(CTTdata)
data(CTTkey)

# Data scored to demonstrate function
scores <- score(CTTdata,CTTkey)$score # obtain the scores

# the targeted mean=3, standard deviation=1

score.transform(scores,3,1)

# the score should be transformed by normalized precentile
score.transform(scores,3,1,TRUE)