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 |
2599573 |
2413 |
- |
2436 |
= |
-23 |
* |
(675 |
/ |
6884) |
= |
-2.25522951 |
4 |
2599574 |
2447 |
- |
2485 |
= |
-38 |
* |
(670 |
/ |
6884) |
= |
-3.69843113 |
5 |
2599577 |
2470 |
- |
2528 |
= |
-58 |
* |
(659 |
/ |
6884) |
= |
-5.55229517 |
6 |
2599578 |
2497 |
- |
2552 |
= |
-55 |
* |
(578 |
/ |
6884) |
= |
-4.61795466 |
7 |
2599581 |
2540 |
- |
2567 |
= |
-27 |
* |
(1421 |
/ |
6884) |
= |
-5.5733585 |
8 |
2599582 |
2566 |
- |
2586 |
= |
-20 |
* |
(1409 |
/ |
6884) |
= |
-4.09355026 |
11 |
2599585 |
2582 |
- |
2628 |
= |
-46 |
* |
(1472 |
/ |
6884) |
= |
-9.83614177 |
Step 4 |
SUM Weighted Distance From Standard to get
2015 Difference From Standard for Santa Barbara Unified
|
-36 |
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 |
79274 |
2431 |
- |
2436 |
= |
-5 |
* |
(637 |
/ |
6972) |
= |
-0.45682731 |
4 |
79276 |
2453 |
- |
2485 |
= |
-32 |
* |
(648 |
/ |
6972) |
= |
-2.97418243 |
5 |
79277 |
2471 |
- |
2528 |
= |
-57 |
* |
(655 |
/ |
6972) |
= |
-5.35499137 |
6 |
79280 |
2495 |
- |
2552 |
= |
-57 |
* |
(644 |
/ |
6972) |
= |
-5.26506019 |
7 |
79282 |
2560 |
- |
2567 |
= |
-7 |
* |
(1435 |
/ |
6972) |
= |
-1.44076305 |
8 |
79284 |
2577 |
- |
2586 |
= |
-9 |
* |
(1406 |
/ |
6972) |
= |
-1.81497418 |
11 |
79285 |
2573 |
- |
2628 |
= |
-55 |
* |
(1547 |
/ |
6972) |
= |
-12.20381525 |
Step 4 |
SUM Weighted Distance From Standard to get
2016 Difference From Standard for Santa Barbara Unified
|
-30 |
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 |
81440 |
2429 |
- |
2436 |
= |
-7 |
* |
(660 |
/ |
7120) |
= |
-0.6488764 |
4 |
81442 |
2458 |
- |
2485 |
= |
-27 |
* |
(628 |
/ |
7120) |
= |
-2.38146067 |
5 |
81445 |
2476 |
- |
2528 |
= |
-52 |
* |
(639 |
/ |
7120) |
= |
-4.66685393 |
6 |
81446 |
2496 |
- |
2552 |
= |
-56 |
* |
(641 |
/ |
7120) |
= |
-5.04157298 |
7 |
81449 |
2560 |
- |
2567 |
= |
-7 |
* |
(1478 |
/ |
7120) |
= |
-1.45308988 |
8 |
81450 |
2575 |
- |
2586 |
= |
-11 |
* |
(1427 |
/ |
7120) |
= |
-2.20463483 |
11 |
81453 |
2590 |
- |
2628 |
= |
-38 |
* |
(1647 |
/ |
7120) |
= |
-8.79016851 |
Step 4 |
SUM Weighted Distance From Standard to get
2017 Difference From Standard for Santa Barbara Unified
|
-25 |
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 |
81629 |
2429 |
- |
2436 |
= |
-7 |
* |
(626 |
/ |
6929) |
= |
-0.63241449 |
4 |
81632 |
2453 |
- |
2485 |
= |
-32 |
* |
(641 |
/ |
6929) |
= |
-2.96031171 |
5 |
81633 |
2490 |
- |
2528 |
= |
-38 |
* |
(623 |
/ |
6929) |
= |
-3.41665463 |
6 |
81636 |
2506 |
- |
2552 |
= |
-46 |
* |
(638 |
/ |
6929) |
= |
-4.23553179 |
7 |
81637 |
2559 |
- |
2567 |
= |
-8 |
* |
(1506 |
/ |
6929) |
= |
-1.73877904 |
8 |
81640 |
2576 |
- |
2586 |
= |
-10 |
* |
(1455 |
/ |
6929) |
= |
-2.09987011 |
11 |
81641 |
2589 |
- |
2628 |
= |
-39 |
* |
(1440 |
/ |
6929) |
= |
-8.10506564 |
Step 4 |
SUM Weighted Distance From Standard to get
2018 Difference From Standard for Santa Barbara Unified
|
-23 |
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 |
82154 |
2433 |
- |
2436 |
= |
-3 |
* |
(556 |
/ |
6786) |
= |
-0.24580018 |
4 |
82155 |
2466 |
- |
2485 |
= |
-19 |
* |
(623 |
/ |
6786) |
= |
-1.74432654 |
5 |
82156 |
2484 |
- |
2528 |
= |
-44 |
* |
(625 |
/ |
6786) |
= |
-4.05246094 |
6 |
82157 |
2524 |
- |
2552 |
= |
-28 |
* |
(595 |
/ |
6786) |
= |
-2.4550545 |
7 |
82158 |
2559 |
- |
2567 |
= |
-8 |
* |
(1466 |
/ |
6786) |
= |
-1.72826407 |
8 |
82159 |
2582 |
- |
2586 |
= |
-4 |
* |
(1473 |
/ |
6786) |
= |
-0.86825818 |
11 |
82160 |
2585 |
- |
2628 |
= |
-43 |
* |
(1448 |
/ |
6786) |
= |
-9.17536103 |
Step 4 |
SUM Weighted Distance From Standard to get
2019 Difference From Standard for Santa Barbara Unified
|
-20 |
Last steps
Compute the average
2015 |
2016 |
2017 |
2018 |
2019 |
Sum |
Average |
-36
|
-30
|
-25
|
-23
|
-20
|
-134.0 |
-26.8 |
Compute the Upper Control Limit
Simply compute the standard deviation and multiply by 3 and add to the average: -8.8
Compute the Lower Control Limit
Simply compute the standard deviation and multiply by 3 and subtract from the average: -44.8
For the lines, you have the data necessary to plot the chart.