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NCA CASI Network : Standard Scores Form Examples
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Standard Scores Form Examples

The following are examples of what data to use and how to use the Standard Scores Forms.

1. Percents or Percentile Ranks

The average reading comprehension percentile ranks on a nationally
standardized test in 1992 and in 1995 are shown below:

Grade 1992 1995
6th 57% 65%
7th 55% 60%
8th 58% 69%

You want to know what progress was made in each grade level, as measured by standard score.

Just enter the 1992 percentile numbers in the Pre column (eg 57,..) and enter the 1995 percentile in the Post column (eg 65,..). Click on calculate and you get the standard scores you were looking for.

Index Pretest Posttest Gain
0 0.18 0.39 0.21
1 0.13 0.25 0.12
2 0.2 .5 0.30

Average Gain: 0.21

Back to Quick & Dirty Standard Score Converter

2. Levels of Attainment with Means

A school administers essay tests to measure writing success each year,
as a pretest (in early September) and a postest (in May). The essays
are holistically scored, using a levels-of-attainment scale with
a minimum score of 1 and a maximum score of 5. Here are the
average results from one grade level:

YearPre MeanPost Mean
1992-19932.83.4
1993-19943.23.7
1994-19953.53.9

You want to know what was the average annual change in essay scores in standard units.

Just enter 1, being the lowest score, for Lowest level of attainment and enter 5, being the highest score, for Highest level of attainment. Now enter the Pre Mean numbers in the Pre Mean column (eg 2.8,..) and enter the Post Mean numbers in the Post Mean column (eg 3.4,..). Click calculate and you get these results:

IndexPretestPosttestPretestPosttestGain
02.83.4-0.130.250.38
13.23.70.130.470.34
23.53.90.330.610.28

Average gain: 0.33

Back to Levels of Attainment with Means Form

3. Levels of Attainment with Percentage of Population

A middle school has its students keep portfolios on a career intrest. These
portfolios are evaluated on a 1 to 4 point scale, where 1 is the lowest
and 4 is the highest. The following results are obtained:

LevelPrePost
411%17%
347%55%
232%18%
110%10%

You want to know has there been improvement in career exploration activity as indicated by the portfolio assessments.

Just enter 1, being the lowest score, for Lowest level of attainment and enter 4, being the highest score, for Highest level of attainment. Now enter the Pre percentile numbers in the Pre column starting with the lowest level first (eg 10,32,..). Next enter the Post percentile numbers in the Post column starting with the lowest level first (eg 10,18,..). Click calculate and you should have results like these:

Mean PreMean PostProp PreProp PostStdUnit PreStdUnit PostGain
2.592.790.530.60.080.250.17

Back to Levels of Attainment with Means, Percentages given for each level Form

4. Raw Point Scores

A 6th grade teacher givers her students a 10 point math quiz every week.
The results are as follows for the last two weeks:

Student #Last WeekThis Week
157
201
399
4107
538

You want to know how much progress the class is making in math as measured by standard score.

Just enter the lowest and highest possible scores (0 and 10) into the appropriate boxes, put the Last Week numbers in the Pre column (eg 5,0,9,..) and enter This Week numbers in the Post column (eg 7,1,9,..). Click calculate and get these results:

Pretest count and mean: 5, 5.4
Posttest count and mean: 5, 6.4
Pretest standard unit: 0.10
Posttest standard unit: 0.36
Gain in standard unit: 0.26

Back to Pre-Test and Post-Test Raw Scores Form

5. Standard Deviation, Group Size, Pre and Post Means Available

A locally developed 150 point test of fundamental scientific understanding
was used in a junior high school. The results were as follows:

Grade 1993 Mean 1993 Stand. Dev. 1996 Mean
7th 87.53 44.97 95.38
8th 92.66 45.53 99.79
9th 104.22 41.00 111.34

You want to know what the improvement was in the 8th grade as measured by standard score.

Just enter the 1993 Mean number from the 8th grade row for Pretest mean and enter the 1996 Mean number from the 8th grade row for Postest mean. Now enter the 1993 Stand. Dev. number from the 8th grade row for Standard deviation. Click calculate and get these results:

Pretest mean Posttest mean Standard Deviation Gain in Standard Units
92.66 99.79 45.53 0.156600043927081

Back to Standard Deviation, Group Size, Pre and Post Means Available Form

6. Pre and Post Averages Given as NCEs

The 5th grade of a local elementary school is given a 100 question
reading comprehension exam two years in a row. The results are
as follows:

Grade1993 NCE Mean1994 NCE Mean
5th79.5482.47

You want to know what progress was made in reading comprehension as measured by standard score.

Just enter the 1993 NCE Mean number as Pretest mean (eg 79.54) and enter the 1994 NCE Mean number as Posttest mean (eg 82.47). Click on calculate and get the following:

Pretest mean (NCE)Posttest mean (NCE)Standard DeviationGain in Standard Units
79.5482.4721.060.139

Back to Pre and Post Averages Given as NCEs Form

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