Background
Methods
Factor symbol | Factor description |
---|---|
G | Group of trials, trial type, design |
S | Study, trial |
T | Treatment |
Results
Four-letter abbreviation of treatment | Treatment |
---|---|
acar | Acarbose |
benf | Benfluorex |
metf | Metformin |
migl | Miglitol |
piog | Pioglitazone |
plac | Placebo |
rosi | Rosiglitazone |
sita | Sitagliptin |
SUal | Sulfonylurea alone |
vild | Vildagliptin |
Fitting models (1) and (2)
Design | Wald statistic | Number of studies | Degrees of freedom |
p-value |
---|---|---|---|---|
benf:plac | 4.38 | 2 | 1 | 0.0363 |
metf:plac | 42.16 | 3 | 2 | <0.0001 |
migl:plac | 6.45 | 3 | 2 | 0.0398 |
rosi:plac | 21.27 | 6 | 5 | 0.0007 |
rosi:metf | 0.19 | 2 | 1 | 0.6655 |
Locating inconsistency by detachment of individual designs
Design (factor G) | Design no. (k) | Factor for detachment | Level of factor for the fifteen designs | ||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | |||
acar:plac | 1 | D1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
acar:SUal | 2 | D2 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
benf:plac§
| 3 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
metf:plac | 4 | D4 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
metf:acar:plac | 5 | D5 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
metf:SUal | 6 | D6 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
migl:plac§
| 7 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
piog:plac | 8 | D8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
piog:metf | 9 | D9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
piog:rosi | 10 | D10 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
rosi:plac | 11 | D11 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
rosi:metf | 12 | D12 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
rosi:SUal | 13 | D13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 |
sita:plac§
| 14 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
vild:plac§
| 15 | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
Design | Design no. ( k) | Number of studies | Degrees of freedom for D k.T | Effect D k.G.S.T fixed | Effect D k.G.S.T random | ||||||
---|---|---|---|---|---|---|---|---|---|---|---|
D k.T | D k.G.T | D k.T | D k.G.T | ||||||||
Wald statistic |
p-value | Wald statistic |
p-value | Wald statistic |
p-value§
| Wald statistic |
p-value§
| ||||
acar:plac | 1 | 1 | 1 | 0.09 | 0.7699 |
22.45
|
0.0010
| 0.02 | 0.8889 | 2.25 | 0.8782 |
acar:SUal | 2 | 1 | 1 | 0.01 | 0.9091 |
22.52
|
0.0010
| 0.01 | 0.9430 | 2.26 | 0.8765 |
metf:plac | 4 | 3 | 1 | 0.46 | 0.4976 |
22.07
|
0.0012
| 0.04 | 0.8379 | 2.22 | 0.8814 |
metf:acar:plac | 5 | 1 | 2 | 0.15 | 0.9297 |
22.39
|
0.0004
| 0.07 | 0.9634 | 2.18 | 0.8129 |
metf:SUal | 6 | 1 | 1 |
15.02
|
0.0001
| 7.52 | 0.2758 | 1.63 | 0.2343 | 0.92 | 0.9835 |
piog:plac | 8 | 1 | 1 |
5.28
|
0.0215
|
17.25
|
0.0084
| 0.43 | 0.5299 | 1.96 | 0.9062 |
piog:metf | 9 | 1 | 1 |
5.40
|
0.0201
|
17.13
|
0.0088
| 0.43 | 0.5318 | 1.94 | 0.9081 |
piog:rosi | 10 | 1 | 1 | 0.05 | 0.8280 |
22.49
|
0.0010
| 0.01 | 0.9065 | 2.27 | 0.8751 |
rosi:plac | 11 | 6 | 1 |
6.24
|
0.0125
|
16.30
|
0.0122
| 0.74 | 0.4112 | 1.87 | 0.9168 |
rosi:metf | 12 | 2 | 1 | 0.01 | 0.9199 |
22.52
|
0.0010
| 0.01 | 0.9276 | 2.25 | 0.8795 |
rosi:SUal | 13 | 1 | 1 |
15.76
|
<0.0001
| 6.77 | 0.3424 | 1.79 | 0.2146 | 0.66 | 0.9930 |
Using influence diagnostics for design × treatment means
Design | Observation | Treatment | Model for heterogeneity | |||||
---|---|---|---|---|---|---|---|---|
G.S.T fixed | G.S.T random | G.S.T dropped | ||||||
PRESS residual | Studentized residual | PRESS residual | Studentized residual | PRESS residual | Studentized residual | |||
1 | 1 | acar | 0.0545 | 0.2443 | 0.0785 | 0.1453 | 0.0642 | 0.2925 |
2 | plac | -0.0545 | -0.2443 | -0.0785 | -0.1453 | -0.0642 | -0.2925 | |
2 | 3 | acar | -0.0234 | -0.1022 | 0.0619 | 0.1056 | -0.0259 | -0.1142 |
4 | SUal | 0.0234 | 0.1022 | -0.0619 | -0.1056 | 0.0259 | 0.1142 | |
3 | 5 | benf | ||||||
6 | plac | . | . | . | . | . | . | |
4 | 7 | metf | 0.0547 | 0.3026 | -0.0781 | -0.2282 | -0.0814 | -0.6783 |
8 | plac | -0.0547 | -0.3026 | 0.0781 | 0.2282 | 0.0814 | 0.6783 | |
5 | 9 | acar | -0.0894 | -0.2408 | -0.1507 | -0.2601 | -0.1137 | -0.3070 |
10 | metf | -0.0276 | -0.0930 | 0.0036 | 0.0075 | 0.0060 | 0.0205 | |
11 | plac | 0.1359 | 0.3615 | 0.1193 | 0.2273 | 0.1057 | 0.2833 | |
6 | 12 | metf | 0.6807 | 3.6726 | 0.6095 | 1.1614 | 0.6910 | 3.8755 |
13 | SUal | -0.6807 | -3.6726 | -0.6095 | -1.1614 | -0.6910 | -3.8755 | |
7 | 14 | migl | . | . | . | . | . | . |
15 | plac | . | . | . | . | . | . | |
8 | 16 | piog | -0.4337 | -2.5934 | -0.2802 | -0.5585 | -0.3638 | -2.2987 |
17 | plac | 0.4337 | 2.5934 | 0.2802 | 0.5585 | 0.3638 | 2.2987 | |
9 | 18 | metf | -0.4719 | -2.9147 | -0.2927 | -0.5779 | -0.3467 | -2.3246 |
19 | piog | 0.4719 | 2.9147 | 0.2927 | 0.5779 | 0.3467 | 2.3246 | |
10 | 20 | piog | -0.1074 | -0.5173 | -0.0073 | -0.0141 | -0.0445 | -0.2173 |
21 | rosi | 0.1074 | 0.5173 | 0.0073 | 0.0141 | 0.0445 | 0.2173 | |
11 | 22 | plac | -0.2802 | -1.9593 | -0.2100 | -0.6391 | -0.3181 | -2.4974 |
23 | rosi | 0.2802 | 1.9593 | 0.2100 | 0.6391 | 0.3181 | 2.4974 | |
12 | 24 | metf | -0.1105 | -0.5920 | -0.0616 | -0.1610 | -0.0179 | -0.1005 |
25 | rosi | 0.1105 | 0.5920 | 0.0616 | 0.1610 | 0.0179 | 0.1005 | |
13 | 26 | rosi | -0.7077 | -3.7022 | -0.6733 | -1.2693 | -0.7424 | -3.9701 |
27 | SUal | 0.7077 | 3.7022 | 0.6733 | 1.2693 | 0.7424 | 3.9701 | |
14 | 28 | plac | . | . | . | . | . | . |
29 | sita | . | . | . | . | . | . | |
15 | 30 | plac | . | . | . | . | . | . |
31 | vild | . | . | . | . | . | . |
Presenting multiple comparisons of treatment means
Treatment | Adjusted mean | Letter grouping | ||
---|---|---|---|---|
rosi | 0.212 | c | ||
piog | 0.317 | b | c | |
metf | 0.318 | b | c | |
migl | 0.496 | b | c | |
acar | 0.605 | b | c | |
benf | 0.709 | a | c | |
vild | 0.746 | a | c | |
sita | 0.876 | a | c | |
SUal | 1.029 | a | b | |
plac | 1.446 | a |
benf | metf | migl | piog | plac | rosi | sita | SUal | vild | |
---|---|---|---|---|---|---|---|---|---|
acar
| -0.1045 (0.3659) | 0.2870 (0.2504) | 0.1085 (0.3280) | 0.2880 (0.3054) | -0.8414 (0.2384) | 0.3924 (0.2526) | -0.2714 (0.4165) | -0.4238 (0.2568) | -0.1414 (0.4159) |
benf
| 0.3915 (0.3153) | 0.2130 (0.3575) | 0.3925 (0.3492) | -0.7369 (0.2776) | 0.4968 (0.3038) | -0.1669 (0.4401) | -0.3194 (0.3622) | -0.0369 (0.4395) | |
metf
| -0.1785 (0.2703) | 0.0010 (0.2176) | -1.1284 (0.1494) | 0.1053 (0.1600) | -0.5584 (0.3727) | -0.7109 (0.2272) | -0.4284 (0.3721) | ||
migl
| 0.1795 (0.3093) | -0.9499 (0.2253) | 0.2839 (0.2569) | -0.3799 (0.4091) | -0.5324 (0.3238) | -0.2499 (0.4085) | |||
piog
| -1.1294 (0.2119) | 0.1043 (0.2163) | -0.5594 (0.4019) | -0.7119 (0.2914) | -0.4294 (0.4013) | ||||
plac
| 1.2337 (0.1235) | 0.5700 (0.3414) | 0.4175 (0.2326) | 0.7000 (0.3408) | |||||
rosi
| -0.6637 (0.3631) | -0.8162 (0.2290) | -0.5337 (0.3624) | ||||||
sita
| -0.1525 (0.4132) | 0.1300 (0.4824) | |||||||
SUal
| 0.2825 (0.4126) |