# Function for transforming scores onto different scales

### Description

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

### Usage

1 | ```
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

1 2 3 4 5 6 7 8 9 10 11 12 13 | ```
# 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)
``` |

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