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:
| Year | Pre Mean | Post
Mean |
| 1992-1993 | 2.8 | 3.4 |
| 1993-1994 | 3.2 | 3.7 |
| 1994-1995 | 3.5 | 3.9 |
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:
| Index | Pretest | Posttest | Pretest | Posttest | Gain |
0 | 2.8 | 3.4 | -0.13 | 0.25 | 0.38 |
1 | 3.2 | 3.7 | 0.13 | 0.47 | 0.34 |
2 | 3.5 | 3.9 | 0.33 | 0.61 | 0.28 |
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:
| Level | Pre | Post |
| 4 | 11% | 17% |
| 3 | 47% | 55% |
| 2 | 32% | 18% |
| 1 | 10% | 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 Pre | Mean Post | Prop Pre | Prop Post | StdUnit Pre | StdUnit Post | Gain |
| 2.59 | 2.79 | 0.53 | 0.6 | 0.08 | 0.25 | 0.17 |
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 Week | This
Week |
| 1 | 5 | 7 |
| 2 | 0 | 1 |
| 3 | 9 | 9 |
| 4 | 10 | 7 |
| 5 | 3 | 8 |
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:
| Grade | 1993 NCE Mean | 1994
NCE Mean |
| 5th | 79.54 | 82.47 |
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 Deviation | Gain in Standard Units |
| 79.54 | 82.47 | 21.06 | 0.139 |
Back to Pre and Post Averages Given as NCEs
Form
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