score.transform function

Function for transforming scores onto different scales

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

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.

Returns

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

# 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)