2015
Step 1 |
|
Step 2 |
|
Step 3 |
Get Mean Scale Score from line numbers in this
data file.
|
|
Subtract 'met min'
Scale Score.
from Mean Scale Score to get
Distance From Standard
|
|
Multiply Distance From Standard by
proportion of students in grade.
|
Grade |
Line number |
Mean Scale Score |
- |
Scale Score: met min |
= |
Distance from standard |
* |
(Students tested in grade |
/ |
Students) tested in school |
= |
Weighted Distance From Standard |
3 |
1077273 |
2413 |
- |
2436 |
= |
-23 |
* |
(1401 |
/ |
8603) |
= |
-3.74555386 |
4 |
1077274 |
2451 |
- |
2485 |
= |
-34 |
* |
(1363 |
/ |
8603) |
= |
-5.38672554 |
5 |
1077277 |
2482 |
- |
2528 |
= |
-46 |
* |
(1273 |
/ |
8603) |
= |
-6.8066953 |
6 |
1077278 |
2477 |
- |
2552 |
= |
-75 |
* |
(1179 |
/ |
8603) |
= |
-10.2783912 |
7 |
1077281 |
2487 |
- |
2567 |
= |
-80 |
* |
(1079 |
/ |
8603) |
= |
-10.03370912 |
8 |
1077282 |
2501 |
- |
2586 |
= |
-85 |
* |
(1194 |
/ |
8603) |
= |
-11.79704749 |
11 |
1077285 |
2541 |
- |
2628 |
= |
-87 |
* |
(1114 |
/ |
8603) |
= |
-11.26560494 |
Step 4 |
SUM Weighted Distance From Standard to get
2015 Difference From Standard for Pasadena Unified
|
-59 |
2016
Step 1 |
|
Step 2 |
|
Step 3 |
Get Mean Scale Score from line numbers in this
data file.
|
|
Subtract 'met min'
Scale Score.
from Mean Scale Score to get
Distance From Standard
|
|
Multiply Distance From Standard by
proportion of students in grade.
|
Grade |
Line number |
Mean Scale Score |
- |
Scale Score: met min |
= |
Distance from standard |
* |
(Students tested in grade |
/ |
Students) tested in school |
= |
Weighted Distance From Standard |
3 |
33761 |
2418 |
- |
2436 |
= |
-18 |
* |
(1376 |
/ |
8674) |
= |
-2.85543002 |
4 |
33764 |
2457 |
- |
2485 |
= |
-28 |
* |
(1388 |
/ |
8674) |
= |
-4.48051646 |
5 |
33765 |
2478 |
- |
2528 |
= |
-50 |
* |
(1339 |
/ |
8674) |
= |
-7.71846895 |
6 |
33768 |
2487 |
- |
2552 |
= |
-65 |
* |
(1185 |
/ |
8674) |
= |
-8.87998612 |
7 |
33769 |
2489 |
- |
2567 |
= |
-78 |
* |
(1198 |
/ |
8674) |
= |
-10.77288443 |
8 |
33772 |
2504 |
- |
2586 |
= |
-82 |
* |
(1071 |
/ |
8674) |
= |
-10.12474057 |
11 |
33774 |
2547 |
- |
2628 |
= |
-81 |
* |
(1117 |
/ |
8674) |
= |
-10.43082773 |
Step 4 |
SUM Weighted Distance From Standard to get
2016 Difference From Standard for Pasadena Unified
|
-55 |
2017
Step 1 |
|
Step 2 |
|
Step 3 |
Get Mean Scale Score from line numbers in this
data file.
|
|
Subtract 'met min'
Scale Score.
from Mean Scale Score to get
Distance From Standard
|
|
Multiply Distance From Standard by
proportion of students in grade.
|
Grade |
Line number |
Mean Scale Score |
- |
Scale Score: met min |
= |
Distance from standard |
* |
(Students tested in grade |
/ |
Students) tested in school |
= |
Weighted Distance From Standard |
3 |
34352 |
2430 |
- |
2436 |
= |
-6 |
* |
(1372 |
/ |
8717) |
= |
-0.94436159 |
4 |
34353 |
2462 |
- |
2485 |
= |
-23 |
* |
(1349 |
/ |
8717) |
= |
-3.55936675 |
5 |
34355 |
2484 |
- |
2528 |
= |
-44 |
* |
(1332 |
/ |
8717) |
= |
-6.72341402 |
6 |
34357 |
2479 |
- |
2552 |
= |
-73 |
* |
(1219 |
/ |
8717) |
= |
-10.20844322 |
7 |
34359 |
2504 |
- |
2567 |
= |
-63 |
* |
(1182 |
/ |
8717) |
= |
-8.54261787 |
8 |
34362 |
2497 |
- |
2586 |
= |
-89 |
* |
(1171 |
/ |
8717) |
= |
-11.95583342 |
11 |
34363 |
2532 |
- |
2628 |
= |
-96 |
* |
(1092 |
/ |
8717) |
= |
-12.02615578 |
Step 4 |
SUM Weighted Distance From Standard to get
2017 Difference From Standard for Pasadena Unified
|
-54 |
2018
Step 1 |
|
Step 2 |
|
Step 3 |
Get Mean Scale Score from line numbers in this
data file.
|
|
Subtract 'met min'
Scale Score.
from Mean Scale Score to get
Distance From Standard
|
|
Multiply Distance From Standard by
proportion of students in grade.
|
Grade |
Line number |
Mean Scale Score |
- |
Scale Score: met min |
= |
Distance from standard |
* |
(Students tested in grade |
/ |
Students) tested in school |
= |
Weighted Distance From Standard |
3 |
34357 |
2429 |
- |
2436 |
= |
-7 |
* |
(1251 |
/ |
8603) |
= |
-1.01790073 |
4 |
34359 |
2473 |
- |
2485 |
= |
-12 |
* |
(1345 |
/ |
8603) |
= |
-1.87608973 |
5 |
34361 |
2485 |
- |
2528 |
= |
-43 |
* |
(1282 |
/ |
8603) |
= |
-6.40776471 |
6 |
34363 |
2487 |
- |
2552 |
= |
-65 |
* |
(1254 |
/ |
8603) |
= |
-9.47460183 |
7 |
34365 |
2488 |
- |
2567 |
= |
-79 |
* |
(1209 |
/ |
8603) |
= |
-11.10205739 |
8 |
34367 |
2511 |
- |
2586 |
= |
-75 |
* |
(1141 |
/ |
8603) |
= |
-9.9471114 |
11 |
34369 |
2538 |
- |
2628 |
= |
-90 |
* |
(1121 |
/ |
8603) |
= |
-11.72730438 |
Step 4 |
SUM Weighted Distance From Standard to get
2018 Difference From Standard for Pasadena Unified
|
-52 |
2019
Step 1 |
|
Step 2 |
|
Step 3 |
Get Mean Scale Score from line numbers in this
data file.
|
|
Subtract 'met min'
Scale Score.
from Mean Scale Score to get
Distance From Standard
|
|
Multiply Distance From Standard by
proportion of students in grade.
|
Grade |
Line number |
Mean Scale Score |
- |
Scale Score: met min |
= |
Distance from standard |
* |
(Students tested in grade |
/ |
Students) tested in school |
= |
Weighted Distance From Standard |
3 |
34526 |
2430 |
- |
2436 |
= |
-6 |
* |
(1297 |
/ |
8315) |
= |
-0.93589897 |
4 |
34527 |
2473 |
- |
2485 |
= |
-12 |
* |
(1202 |
/ |
8315) |
= |
-1.73469632 |
5 |
34528 |
2490 |
- |
2528 |
= |
-38 |
* |
(1303 |
/ |
8315) |
= |
-5.9547805 |
6 |
34529 |
2489 |
- |
2552 |
= |
-63 |
* |
(1187 |
/ |
8315) |
= |
-8.99350565 |
7 |
34530 |
2497 |
- |
2567 |
= |
-70 |
* |
(1172 |
/ |
8315) |
= |
-9.8665063 |
8 |
34531 |
2509 |
- |
2586 |
= |
-77 |
* |
(1132 |
/ |
8315) |
= |
-10.48274196 |
11 |
34532 |
2523 |
- |
2628 |
= |
-105 |
* |
(1022 |
/ |
8315) |
= |
-12.90559221 |
Step 4 |
SUM Weighted Distance From Standard to get
2019 Difference From Standard for Pasadena Unified
|
-51 |
Last steps
Compute the average
2015 |
2016 |
2017 |
2018 |
2019 |
Sum |
Average |
-59
|
-55
|
-54
|
-52
|
-51
|
-271.0 |
-54.2 |
Compute the Upper Control Limit
Simply compute the standard deviation and multiply by 3 and add to the average: -45.2
Compute the Lower Control Limit
Simply compute the standard deviation and multiply by 3 and subtract from the average: -63.2
For the lines, you have the data necessary to plot the chart.