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 |
2352828 |
2441 |
- |
2436 |
= |
5 |
* |
(4325 |
/ |
26277) |
= |
0.82296305 |
4 |
2352831 |
2476 |
- |
2485 |
= |
-9 |
* |
(4306 |
/ |
26277) |
= |
-1.47482589 |
5 |
2352832 |
2511 |
- |
2528 |
= |
-17 |
* |
(4117 |
/ |
26277) |
= |
-2.663508 |
6 |
2352835 |
2525 |
- |
2552 |
= |
-27 |
* |
(3383 |
/ |
26277) |
= |
-3.47608174 |
7 |
2352836 |
2548 |
- |
2567 |
= |
-19 |
* |
(3357 |
/ |
26277) |
= |
-2.42733187 |
8 |
2352839 |
2564 |
- |
2586 |
= |
-22 |
* |
(3378 |
/ |
26277) |
= |
-2.82817671 |
11 |
2352840 |
2611 |
- |
2628 |
= |
-17 |
* |
(3411 |
/ |
26277) |
= |
-2.20675875 |
Step 4 |
SUM Weighted Distance From Standard to get
2015 Difference From Standard for San Francisco Unified
|
-14 |
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 |
71898 |
2441 |
- |
2436 |
= |
5 |
* |
(4335 |
/ |
26466) |
= |
0.81897529 |
4 |
71900 |
2478 |
- |
2485 |
= |
-7 |
* |
(4246 |
/ |
26466) |
= |
-1.12302576 |
5 |
71901 |
2507 |
- |
2528 |
= |
-21 |
* |
(4076 |
/ |
26466) |
= |
-3.23418726 |
6 |
71903 |
2525 |
- |
2552 |
= |
-27 |
* |
(3620 |
/ |
26466) |
= |
-3.6930401 |
7 |
71906 |
2556 |
- |
2567 |
= |
-11 |
* |
(3430 |
/ |
26466) |
= |
-1.42560265 |
8 |
71907 |
2571 |
- |
2586 |
= |
-15 |
* |
(3359 |
/ |
26466) |
= |
-1.90376331 |
11 |
71910 |
2617 |
- |
2628 |
= |
-11 |
* |
(3400 |
/ |
26466) |
= |
-1.41313383 |
Step 4 |
SUM Weighted Distance From Standard to get
2016 Difference From Standard for San Francisco Unified
|
-12 |
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 |
73857 |
2452 |
- |
2436 |
= |
16 |
* |
(4093 |
/ |
26384) |
= |
2.48211037 |
4 |
73860 |
2479 |
- |
2485 |
= |
-6 |
* |
(4171 |
/ |
26384) |
= |
-0.94852941 |
5 |
73862 |
2506 |
- |
2528 |
= |
-22 |
* |
(4052 |
/ |
26384) |
= |
-3.37871437 |
6 |
73863 |
2519 |
- |
2552 |
= |
-33 |
* |
(3594 |
/ |
26384) |
= |
-4.49522436 |
7 |
73866 |
2557 |
- |
2567 |
= |
-10 |
* |
(3604 |
/ |
26384) |
= |
-1.36597938 |
8 |
73867 |
2577 |
- |
2586 |
= |
-9 |
* |
(3416 |
/ |
26384) |
= |
-1.16525166 |
11 |
73870 |
2623 |
- |
2628 |
= |
-5 |
* |
(3454 |
/ |
26384) |
= |
-0.65456337 |
Step 4 |
SUM Weighted Distance From Standard to get
2017 Difference From Standard for San Francisco Unified
|
-10 |
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 |
74028 |
2446 |
- |
2436 |
= |
10 |
* |
(4009 |
/ |
26141) |
= |
1.53360621 |
4 |
74029 |
2485 |
- |
2485 |
= |
0 |
* |
(4070 |
/ |
26141) |
= |
0.0 |
5 |
74032 |
2507 |
- |
2528 |
= |
-21 |
* |
(4040 |
/ |
26141) |
= |
-3.24547644 |
6 |
74033 |
2524 |
- |
2552 |
= |
-28 |
* |
(3443 |
/ |
26141) |
= |
-3.68784665 |
7 |
74036 |
2552 |
- |
2567 |
= |
-15 |
* |
(3559 |
/ |
26141) |
= |
-2.04219425 |
8 |
74037 |
2578 |
- |
2586 |
= |
-8 |
* |
(3582 |
/ |
26141) |
= |
-1.09620902 |
11 |
74040 |
2611 |
- |
2628 |
= |
-17 |
* |
(3438 |
/ |
26141) |
= |
-2.23579816 |
Step 4 |
SUM Weighted Distance From Standard to get
2018 Difference From Standard for San Francisco Unified
|
-11 |
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 |
74553 |
2449 |
- |
2436 |
= |
13 |
* |
(4068 |
/ |
25913) |
= |
2.04082892 |
4 |
74554 |
2482 |
- |
2485 |
= |
-3 |
* |
(4014 |
/ |
25913) |
= |
-0.46470883 |
5 |
74555 |
2516 |
- |
2528 |
= |
-12 |
* |
(3950 |
/ |
25913) |
= |
-1.82919769 |
6 |
74556 |
2517 |
- |
2552 |
= |
-35 |
* |
(3472 |
/ |
25913) |
= |
-4.68953804 |
7 |
74557 |
2559 |
- |
2567 |
= |
-8 |
* |
(3465 |
/ |
25913) |
= |
-1.06973334 |
8 |
74558 |
2572 |
- |
2586 |
= |
-14 |
* |
(3545 |
/ |
25913) |
= |
-1.91525488 |
11 |
74559 |
2610 |
- |
2628 |
= |
-18 |
* |
(3399 |
/ |
25913) |
= |
-2.36105429 |
Step 4 |
SUM Weighted Distance From Standard to get
2019 Difference From Standard for San Francisco Unified
|
-10 |
Last steps
Compute the average
2015 |
2016 |
2017 |
2018 |
2019 |
Sum |
Average |
-14
|
-12
|
-10
|
-11
|
-10
|
-57.0 |
-11.4 |
Compute the Upper Control Limit
Simply compute the standard deviation and multiply by 3 and add to the average: -8.4
Compute the Lower Control Limit
Simply compute the standard deviation and multiply by 3 and subtract from the average: -14.4
For the lines, you have the data necessary to plot the chart.