Attachment 4 : Teacher Post-PD and Post-MWEE Power and Effect Size Analysis Results

Page 1 of 5 

Attachment 4 : Teacher Post‐PD and Post‐MWEE Power and Effect Size Analysis Results 

Note: The question text indicated by the codes in these tables can be found in Attachments 3 
and 5. 

PD Chi‐Square  
PDMQ5_1
Nquery Column
Test Significance
level, α
Number of groups, G
Average proportion,
π0
Variance of
proportions, V=Σ ri(πiπ0)2 / Σ ri
Effect size, Δ2 = V / 
[π0(1‐π0)]

1
0.05

2
0.05

PDMQ5_
3
3
0.05

2
0.078

2
0.078

2
0.076

2
0.074

2
0.074

8
0.19

0.006038

0.006038

0.005724

0.005505

0.005505

0.008447

0.084249

0.084249

0.081851

0.080139

0.080139

0.054878

95

95

94

94

94

53

156

156

156

156

156

156

PDGQ4_
2
14
0.05

PDGQ4_
3
15
0.05

Power (%)
N as multiple of n1, Σ ri
= Σ ni/n1
Total sample size, N

PDMQ5_2

PDMQ5_
4
4
0.05

PDMQ5_
5
5
0.05

PDGMQ
1
6
0.05

PDQ10_
1
7
0.05

PDQ10_
2
8
0.05

PDQ10_
3
9
0.05

PDQ10_
4
10
0.05

2
0.074

2
0.144

2
0.15

0.005505

0.000797

0.080139

11
0.05

12
0.05

PDGQ4_
1
13
0.05

2
0.158

7
0.171

6
0.194

2
0.147

2
0.152

2
0.143

0.000049

0.000573

0.01136

0.00700
6

0.000041

0.000216

0.000434

0.006461

0.000385

0.004313

0.08010
9

0.04487
7

0.000327

0.001678

0.003546

94

17

5

12

75

50

5

8

11

156

156

156

156

156

156

156

156

156

PDGQ2

PDQ19

Page 2 of 5 

PDGQ4_4
16
0.05

PDGQ4_5
17
0.05

PDGQ4_6
18
0.05

PDGQ4_7
19
0.05

2
0.139

2
0.135

2
0.181

2
0.181

0.00002

0.000199

0.000977

0.000193

0.000168

0.001701

0.0066

0.001304

5

8

17

6

156

156

156

120

Lowest
Value

Highest
Value

Range of Power
Range of Effect Sizes

5
0.00

Mean Power 
Mean Effect Size 

44
0.04

95
0.08

PD T‐Test 
PDQ6
NQuery Column
Test Significance level, α
1 or 2 sided test?
Group 1 mean, μ1
Group 2 mean, μ2
Difference in means, μ1 μ2
Common standard
deviation, σ
Effect size, δ = | μ1 -μ2 | /
σ
Power (%)
n1
n2
Ratio, n2 / n1
N = n1 + n2

PDGQ23

PDQ37

PDGQ84_1_
1

PDGQ84_2_
1

1
0.05
2
4.39849615
1
4.72727251
1
‐0.329

2
0.05
2
4.34351158
1
4.60869550
7
‐0.265

3
0.05
2
11.6999998
1
11.3000001
9
0.400

4 
0.05 
2 
3.275590658 

5
0.05
2
2.590551138

3.826086998 

3.695652246

‐0.550 

‐1.105

1.83165583
9
0.179

2.28302782
5
0.116

2.45918354
5
0.163

3.734180383 

3.051204118

0.147 

0.362

12
133
22
0.165
155

8
131
23
0.176
154

7
90
10
0.111
100

9 
127 
23 
0.181 
150 

35
127
23
0.181
150

Page 3 of 5 
PDGQ84_1_2

PDGQ84_2_2

PDGQ84_1_3

PDGQ84_2_3

6 
0.05 
2 
6.040322781 
6.136363506 
‐0.096 
1.03742563 
0.093 
6 
124 
22 
0.177 
146 

7 
0.05 
2 
5.699186802 
6 
‐0.301 
1.481607705 
0.203 
14 
123 
22 
0.179 
145 

8
0.05
2
6.28000021
6.318181992
‐0.038
1.177818227
0.032
5
75
22
0.293
97

9
0.05
2
5.905405521
6.227272511
‐0.322
1.300015769
0.248
17
74
22
0.297
96

Lowest
Value
Range of Power

Highest
Value

5
0.03
13
0.17

Range of Effect Sizes

Mean Power 
Mean Effect Size 

35
0.36

MWEE Chi‐Square 
MPDQ5_1

MPDQ5_2

Nquery Column
Test Significance level, α
Number of groups, G
Average proportion, π0

1
0.05
2
0.101

2
0.05
2
0.101

Variance of proportions,
V=Σ ri(πi-π0)2 / Σ ri

0.010

0.010

Effect size, Δ2 = V / [π0(1‐π0)]

0.112

0.112

97

97

140

140

Power (%)
N as multiple of n1, Σ ri = Σ
ni/n1
Total sample size, N
Lowest
Value

Highest
Value

Range of Power
Range of Effect Sizes

97
0.11

Mean Power 
Mean Effect Size 

97
0.11

97
0.11

Page 4 of 5 

MWEE T‐Test 
MGQ45
1
0.5
2
5.434

MGQ43
2
0.5
2
4.080

MGQ44
3
0.5
2
3.097

MGQ52_1A
4
0.5
2
6.126

MGQ52_2A
5
0.5
2
5.827

Group 2 mean, μ2

4.259

4.000

2.481

5.852

5.667

Difference in means, μ1 - μ2

1.174

0.080

0.616

0.274

0.161

Common standard deviation, σ
Effect size, δ = | μ1 -μ2 | / σ

6.442
0.182

2.886
0.028

2.121
0.290

1.571
0.175

1.539
0.104

13
113

5
113

27
113

12
111

7
110

27

27

27

27

27

0.239

0.239

0.239

0.243

0.245

140

140

140

138

137

NQuery Column
Test Significance level, α
1 or 2 sided test?
Group 1 mean, μ1

Power (%)
n1
n2
Ratio, n2 / n1
N = n1 + n2

MGQ52_3A
6
0.5
2
5.486

MGQ52_4A
7
0.5
2
5.655

MGQ52_5A
8
0.5
2
5.685

MGQ52_6A
9
0.5
2
5.768

MGQ52_7A
10
0.5
2
5.768

MGQ52_8A
11
0.5
2
5.550

MGQ52_9A
12
0.5
2
5.658

5.407

5.296

5.556

5.778

5.852

4.852

5.556

0.079

0.358

0.130

-0.010

-0.084

0.699

0.102

1.708
0.046

1.485
0.241

1.413
0.092

1.172
0.010

1.265
0.066

1.689
0.414

1.483
0.069

5
111

20
110

7
108

5
112

6
112

48
109

6
111

27

27

27

27

27

27

27

0.243

0.245

0.250

0.241

0.241

0.248

0.243

138

137

135

139

139

136

138

Page 5 of 5 

MGQ52_10A
13
0.5
2
5.349

MGQ52_11A
14
0.5
2
4.923

MGQ52_12A
15
0.5
2
6.000

4.667

4.037

6.037

0.682

0.886

-0.037

1.827
0.373

2.313
0.383

1.478
0.025

40
109

42
104

5
111

27

27

27

0.248

0.260

0.243

136

131

138

Range of Power
Range of Effect Sizes

Mean Power 
Mean Effect Size 

Lowest Value
5
0.01

17
0.17

Highest Value
48
0.41