EDU 515 k12 - DDDM Project - Calculations McKee

8/13/2019 EDU 515 k12 - DDDM Project - Calculations McKee

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Reading and Math Scores to determine SD and SEM

Name Reading X - M Reading (XM)2

Math X-M Math (X-M)2

Alejandro 405404.48 = +0.52 0.27 410 - 410.72 = -0.72 0.52

Alysa 446 - 404.48 = +41.52 1723.91 477 - 410.72 = +66.28 4393.04

Anthony 475 - 404.48 = +70.52 4973.07 493 - 410.72 = +82.28 6770.00

Anthony 396 - 404.48 = -8.48 71.91 401 - 410.72 = -9.72 94.48

Barry 420 - 404.48 = +15.52 240.87 415 - 410.72 = +4.28 18.32

Becca 404 - 404.48 = -0.48 0.23 402 - 410.72 = -8.72 76.04

Becky 412 - 404.48 = +7.52 56.55 407 - 410.72 = -3.72 13.84Brandon 399 - 404.48 = -5.48 30.03 414 - 410.72 = +3.28 10.76

Brenda 389 - 404.48 = -15.48 239.63 399 - 410.72 = -11.72 137.36

Cassandra 398 - 404.48 = -6.48 41.99 409 - 410.72 = -1.72 2.96

Dan 370 - 404.48 = -34.48 1188.87 399 - 410.72 = -11.72 137.36

Gary 419 - 404.48 = +14.52 210.83 416 - 410.72 = +5.28 27.88

Jacob 415 - 404.48 = +10.52 110.67 401 - 410.72 = -9.72 94.48

Jessie 420 - 404.48 = +15.52 240.87 400 - 410.72 = -10.72 114.92

Jimmie 388 - 404.48 = -16.48 271.59 397 - 410.72 =-13.72 188.24

Katie 410 - 404.48 = +5.52 30.47 418 - 410.72 = +7.28 53.00

Kristen 397 - 404.48 = -7.48 55.95 398 - 410.72 = -12.72 161.80

Lucinda 390 - 404.48 = -14.48 209.67 403 - 410.72 = -7.72 59.60

Marcus 403 - 404.48 = -1.48 2.19 401 - 410.72 = -9.72 94.48

Maria 406 - 404.48 = +1.52 2.31 404 - 410.72 = -6.72 45.16

Nate 360 - 404.48 = -44.48 1978.47 374 - 410.72 = -36.72 1348.36

Pablo 413 - 404.48 = +8.52 72.59 411 - 410.72 = +0.28 0.08

Patrick 387 - 404.48 = -17.48 305.55 395 - 410.72 = -15.72 247.12

Tammie 390 - 404.48 = -14.48 209.67 414 - 410.72 = +3.28 10.76

Taryn 400 - 404.48 = -4.48 20.07 410 - 410.72 = -0.72 0.52

N = 25

X-M =

0

(X-M)2=

12,288.23

X-M =

0

(X-M)2=

14,101.08

Mean = 404.48 410.72

SD = 22.63 24.23

SEM= (r = .87); 8.16 (r = .84); 9.69

Reading SD = (X-M)2 / N1 = 12288.23/24 = 512.01 = 22.63

Math SD = (X-M)2 / N1 = 14,101.08/24 = 587.54 = 24.23

Reading SEM = SD1-r = 22.631-.87 =22.630.13 = 8.16

Math SEM = SD1-r = 24.231-.84 = 24.23.16 = 9.69


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Reading: SEM = 8.16, 397 = proficiency cut-off, using 68% confidence interval

Name Obtained Score 68% Confidence Interval (+/- 1 SEM)

Alejandro 405 Y

Alysa 446 Y

Anthony 475 Y

Anthony 396 Y

Barry 420 Y

Becca 404 Y

Becky 412 YBrandon 399 Y

Brenda 389 Y

Cassandra 398 Y

Dan 370 N

Gary 419 Y

Jacob 415 Y

Jessie 420 Y

Jimmie 388 N

Katie 410 Y

Kristen 397 Y

Lucinda 390 YMarcus 403 Y

Maria 406 Y

Nate 360 N

Pablo 413 Y

Patrick 387 N

Tammie 390 Y

Taryn 400 Y

21/25 = 84% proficiency rate 70% = +14%


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Ethnicity:White

Name Reading X - M Reading (XM)2 Proficient

Alysa 446 - 404.64 = +41.36 1710.65 Y

Anthony 396 - 404.64 = -8.64 74.65 Y

Barry 420 - 404.64 = +15.36 235.93 Y

Becca 404 - 404.64 = -0.64 0.41 Y

Becky 412 - 404.64 = +7.36 54.17 Y

Brandon 399 - 404.64 = -5.64 31.81 Y

Gary 419 - 404.64 = +14.36 206.21 Y

Jimmie 388 - 404.64 = -16.64 276.89 N

Katie 410 -404.64 = +5.36 287.30 Y

Kristen 397 - 404.64 = -7.64 58.37 Y

Nate 360 - 404.64 = -44.64 1992.73 N

(X-M) = -0.04 (X-M)2= 4929.12 9/11 X 100 = 81.82%

N = 11m = 446, 396, 420, 404, 412, 399, 419, 388, 410, 397, 360 = 4451/11 = 404.64

SD = (X-M)2

/ N1 = 4929.12/10 = 492.91 = 22.20

% Pass = 9/11 x 100 = 81.82%

Successful (Y/N)? = N

Change from 2011 = 81.82% - 75% = +6.82%Black


Anthony 475 - 407.75 = +67.25 4522.56 Y

Brenda 389 - 407.75 = -18.75 351.56 Y

Dan 370 - 407.75 = -37.75 1406.25 N

Jacob 415 - 407.75 = +7.25 52.56 Y

Jessie 420 - 407.75 = +12.25 150.06 Y

Marcus 403 - 407.75 = -4.75 22.56 Y

Tammie 390 - 407.75 = -17.75 315.06 Y

Taryn 400 - 407.75 = -7.75 60.06 Y(X-M) = 0 (X-M)

2= 6880.67 7/8 x 100 = 87.50%

N = 8m = 475, 389, 370, 415, 420, 403, 390, 400 = 3262/8 = 407.75

SD = (X-M)2 / N1 = 6880.67/7 = 982.95 = 31.35

% Pass = 7/8 x 100 = 87.50%

Successful = (Y/N)? = Y

Change from 2011 = 87.50% - 60% = +27.50%Hispanic


Alejandro 405 - 399.83 = +5.17 26.73 Y

Cassandra 398 - 399.83 = -1.83 3.35 Y

Lucinda 390 - 399.83 = -9.83 96.63 Y

Maria 406 - 399.83 = +6.17 38.07 Y

Pablo 413 - 399.83 = +13.17 173.45 Y

Patrick 387 - 399.83 = -12.83 164.61 N

(X-M) = +0.02 (X-M)2= 502.84 5/6 x 100 = 83.33%

N = 6m = 405, 398, 390, 406, 413, 387 = 2399/6 = 399.83

SD = (X-M)2 / N1 = 502.84/5 = 100.57 = 10.03

% Pass = 5/6 x 100 = 83.33%

Successful = (Y/N)? = N

Change from 2011 = 83.33% - 65% = +18.33%


4/7

Low Socio-economic (Free Lunch):


Anthony 475 - 406.73 = +68.27 4660.79 Y

Barry 420 - 406.73 = +13.27 176.09 Y

Cassandra 398 - 406.73 = -8.73 76.21 Y

Dan 370 - 406.73 = -36.73 1349.09 N

Jacob 415 - 406.73 = +8.27 68.39 Y

Kristen 397 - 406.73 = -9.73 94.67 Y

Marcus 403 - 406.73 = -3.73 13.91 Y

Maria 406 - 406.73 = -0.73 0.53 Y

Pablo 413 - 406.73 = +6.27 39.31 Y

Patrick 387 - 406.73 = -19.73 389.27 N

Tammie 390 - 406.73 = -16.73 279.89 Y

(X-M) = -0.03 (X-M)2= 7148.15 9/11 x 100 = 81.82%

N = 11m = 475, 420, 398, 370, 415, 397, 403, 406, 413, 387, 390 = 4474/11 = 406.73

SD = (X-M)2

/ N1 = 7148.15/10 = 714.82 = 26.74

% Pass = 9/11 x 100 = 81.82%


Change from 2011 = 81.82% - 63% = +8.82%

English Language Learners (ELL):


Alejandro 405 - 399.75 = +5.25 27.56 Y

Cassandra 398 - 399.75 = -1.75 3.06 Y

Lucinda 390 - 399.75 = -9.75 95.06 Y

Maria 406 - 399.75 = +6.25 39.06 Y

(X-M) = 0 (X-M)2= 164.74 4/4 x 100 = 100%

N = 4m = 405, 398, 390, 406 = 1599/4 = 399.75

SD = (X-M)2

/ N1 = 164.74/3 = 54.91 = 7.41

% Pass = 100%Successful = (Y/N)? = Y

Change from 2011 = 100% - 68% = +32%

Students with Disabilities (SWD):


Brandon 399 - 381.50 =+17.50 306.25 Y

Dan 370 - 381.50 = -11.50 132.25 Y

Kristen 397 - 381.50 = +15.50 240.25 Y

Nate 360 - 381.50 = -21.50 462.25 N

(X-M) = 0 (X-M)2= 1141.00 3/4 x 100 = 75%

N = 4m = 399, 370, 397, 360 = 1526/4 = 381.50

SD = (X-M)2

/ N1 = 1141.00/3 = 380.33 = 19.50

% Pass = 3/4 x 100 = 75%


Change from 2011 = 75% - 50% = +25%


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Math: SEM = 9.69; 411 = proficiency cut-off, using 68% confidence interval

Name Obtained Score 68% Confidence Interval (+/- 1 SEM)

Alejandro 410 Y

Alysa 477 Y

Anthony 493 Y

Anthony 401 N

Barry 415 Y

Becca 402 Y

Becky 407 Y

Brandon 414 Y

Brenda 399 N

Cassandra 409 Y

Dan 399 N

Gary 416 Y

Jacob 401 N

Jessie 400 N

Jimmie 397 N

Katie 418 Y

Kristen 398 N

Lucinda 403 Y

Marcus 401 N

Maria 404 Y

Nate 374 N

Pablo 411 Y

Patrick 395 N

Tammie 414 Y

Taryn 410 Y

15/25 = 60% proficiency rate 75% = -15%


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Ethnicity:White

Name Math X - M Math (XM)2 Proficient

Alysa 477 - 410.82 = +66.18 4379.79 Y

Anthony 401 - 410.82 = -9.82 96.43 N

Barry 415 - 410.82 = +4.18 17.47 Y

Becca 402 - 410.82 = -8.82 77.79 Y

Becky 407 - 410.82 = -3.82 14.59 Y

Brandon 414 - 410.82 = +3.18 10.11 Y

Gary 416 - 410.82 = +5.18 26.83 Y

Jimmie 397 - 410.82 = -13.82 190.99 N

Katie 418 - 410.82 = +7.18 51.55 Y

Kristen 398 - 410.82 = -12.82 164.35 Y

Nate 374 - 410.82 = -36.82 1355.71 N

(X-M) = -0.02 (X-M)2= 6385.61 8/11 x 100 = 72.73%

N = 11m = 477, 401, 415, 402, 407, 414, 416, 397, 418, 398, 374 = 4519/11 = 410.82

SD = (X-M)2

/ N1 = 6385.61/10 = 638.56 = 25.27

% Pass = 8/11 x 100 = 72.73%


Change from 2011 = 72.73% - 80% = -7.27%Black


Anthony 493 - 414.63 = +78.37 6141.86 Y

Brenda 399 - 414.63 = -15.63 244.30 N

Dan 399 - 414.63 = -15.63 244.30 N

Jacob 401 - 414.63 = -13.63 185.78 N

Jessie 400 - 414.63 = -14.63 2140.04 N

Marcus 401 - 414.63 = -13.63 185.78 N

Tammie 414 - 414.63 = -0.63 0.40 Y

Taryn 410 - 414.63 = -4.63 21.44 Y(X-M) = -0.04 (X-M)

2= 9163.90 3/8 x 100 = 37.5%

N = 8m = 493, 399, 399, 401, 400, 401, 414, 410 = 3317/8 = 414.63

SD = (X-M)2 / N1 = 9163.90/7 = 1309.13 = 36.18

% Pass = 3/8 x 100 = 37.50%


Change from 2011 = 37.50% - 70% = -32.50%Hispanic


Alejandro 410 - 405.33 = +4.67 21.81 Y

Cassandra 409 - 405.33 = +3.67 13.47 Y

Lucinda 403 - 405.33 = -2.33 5.43 Y

Maria 404 - 405.33 = -1.33 1.77 Y

Pablo 411 - 405.33 = +5.67 32.15 Y

Patrick 395 - 405.33 = -10.33 106.71 N

(X-M) = +0.02 (X-M)2= 181.34 5/6 x 100 = 83.33%

N = 6m = 410, 409, 403, 404, 411, 395 = 2432/6 = 405.33

SD = (X-M)2 / N1 = 181.34/5 = 36.27 = 6.02

% Pass = 5/6 x 100 = 83.33%


Change from 2011 = 83.33% - 72% = +11.33%


7/7

Low Socio-economic (Free Lunch):


Anthony 493 - 412.73 = +80.27 6443.27 Y

Barry 415 - 412.73 = +2.27 5.15 Y

Cassandra 409 - 412.73 = -3.73 13.91 Y

Dan 399 - 412.73 = -13.73 188.51 N

Jacob 401 - 412.73 = -11.73 137.59 N

Kristen 398 - 412.73 = -14.73 216.97 N

Marcus 401 - 412.73 = -11.73 137.59 N

Maria 404 - 412.73 = -8.73 76.21 Y

Pablo 411 - 412.73 = -1.73 2.99 Y

Patrick 395 - 412.73 = -17.73 314.35 N

Tammie 414 - 412.73 = +1.27 1.61 Y

(X-M) = -0.03 (X-M)2= 7538.15 6/11 x 100 = 54.55%

N = 11m = 493, 415, 409, 399, 401, 398, 401, 404, 411, 395, 414 = 4540/11 = 412.73

SD = (X-M)2

/ N1 = 7538.15/10 = 753.82 = 753.82 = 27.46

% Pass = 6/11 x 100 = 54.55%


Change from 2011 = 54.55% - 69% = -14.45%

English Language Learners (ELL):


Alejandro 410 - 406.50 = +3.50 12.25 Y

Cassandra 409 - 406.50 = +2.50 6.25 Y

Lucinda 403 - 406.50 = -3.50 12.25 Y

Maria 404 - 406.50 = -2.50 6.25 Y

(X-M) = 0 (X-M)2= 37 4/4 X 100 = 100%

N = 4m = 410, 409, 403, 404 = 1626/4 = 406.50

SD = (X-M)2

/ N1 = 37/3 = 12.33 = 3.51

% Pass = 4/4 X 100 = 100%Successful = (Y/N)? = Y

Change from 2011 =100% - 77% = +23%

Students with Disabilities (SWD):


Brandon 414 - 396.25 = +17.75 315.06 Y

Dan 399 - 396.25 = +2.75 7.56 N

Kristen 398 - 396.25 = +1.75 3.06 N

Nate 374 - 396.25 = -22.25 495.06 N

(X-M) = 0 (X-M)2= 820.74 1/4 x 100 = 25%

N = 4m = 414, 399, 398, 374 = 1585/4 = 396.25

SD = (X-M)2

/ N1 = 820.74/3 = 273.58 = 16.54

% Pass = 1/4 x 100 = 25%


Change from 2011 = 25% - 62% = -37%

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EDU 515 k12 - DDDM Project - Calculations McKee