Results from 42 trials examining the effect of rosiglitazone on the risk of myocardial infarction and death from cardiovascular causes.

dat.nissen2007

Format

The data frame contains the following columns:

studycharacterstudy identifier
typefactortype of trial (as in Table 1)
phasefactorstudy phase
populationcharacterdescription of the study population
start, endcharacterstudy period (year-month)
treatmentcharactertreatment group medication
controlcharactercontrol group medication
weeksnumericfollow-up duration (weeks)
treat.totalnumerictotal number of patients in the treatment group
treat.infarctionnumericnumber of patients with myocardial infarction in the treatment group
treat.deathnumericnumber of deaths in the treatment group
cont.totalnumerictotal number of patients in the control group
cont.infarctionnumericnumber of patients with myocardial infarction in the control group
cont.deathnumericnumber of deaths in the control group

Details

Nissen and Wolski (2007) performed a systematic literature review aiming for randomized controlled trials (RCTs) investigating the effects of Rosiglitazone (Avandia) in comparison to a control treatment, and with a follow-up duration of at least 24 weeks. 42 studies were included. A meta-analysis was performed to quantify the treatment effect on the risks of myocardial infarction and cardiovascular death in terms of the associated odds ratio (OR).

The data set features a number of “zero” trials (no event observed in one of the treatment groups) as well as “double-zero” trials (no event in either treatment group), which poses a challenge for some analysis methods. The original analysis was a common-effect analysis based on the Peto method (see the rma.peto help and the example code below). The data set as well as its original analysis have subsequently been discussed by other investigators (e.g., Diamond et al., 2007; Ruecker & Schumacher, 2008; Friedrich et al., 2009; Tian et al., 2009; Nissen & Wolski, 2010). Jackson et al. (2018) later surveyed a range of (random-effects) models that may be applicable in this context; see also the examples below.

See also dat.tian2009 for the same dataset, but with 6 additional trials where no event was observed in either group for both outcomes.

Source

Nissen, S. E., & Wolski, K. (2007). Effect of Rosiglitazone on the risk of myocardial infarction and death from cardiovascular causes. New England Journal of Medicine, 356(24), 2457-2471. https://doi.org/10.1056/NEJMoa072761

References

Diamond, G. A., Bax, L., & Kaul, S. (2007). Uncertain effects of Rosiglitazone on the risk for myocardial infarction and cardiovascular death. Annals of Internal Medicine, 147(8), 578–581. https://doi.org/10.7326/0003-4819-147-8-200710160-00182

Friedrich, J. O., Beyene, J., & Adhikari, N. K. J. (2009). Rosiglitazone: Can meta-analysis accurately estimate excess cardiovascular risk given the available data? Re-analysis of randomized trials using various methodologic approaches. BMC Research Notes, 2, 5. https://doi.org/10.1186/1756-0500-2-5

Jackson, D., Law, M., Stijnen, T., Viechtbauer, W., & White, I. R. (2018). A comparison of seven random-effects models for meta-analyses that estimate the summary odds ratio. Statistics in Medicine, 37(7), 1059–1085. https://doi.org/10.1002/sim.7588

Nissen, S. E., & Wolski, K. (2010). Rosiglitazone revisited: An updated meta-analysis of risk for myocardial infarction and cardiovascular mortality. Archives of Internal Medicine, 170(14), 1191–1201. https://doi.org/10.1001/archinternmed.2010.207

Rücker, G., & Schumacher, M. (2008). Simpson’s paradox visualized: The example of the Rosiglitazone meta-analysis. BMC Medical Research Methodology, 8, 34. https://doi.org/10.1186/1471-2288-8-34

Tian, L., Cai, T., Pfeffer, M. A., Piankov, N., Cremieux, P.-Y., & Wei, L. J. (2009). Exact and efficient inference procedure for meta-analysis and its application to the analysis of independent 2 x 2 tables with all available data but without artificial continuity correction. Biostatistics, 10(2), 275–281. https://doi.org/10.1093/biostatistics/kxn034

See also

Author

Christian Röver, christian.roever@med.uni-goettingen.de

Concepts

medicine, cardiology, odds ratios, Peto's method, generalized linear models

Examples

dat.nissen2007
#>             study                   type phase
#> 1       49653/011  original registration   III
#> 2       49653/020  original registration   III
#> 3       49653/024  original registration   III
#> 4       49653/093  original registration   III
#> 5       49653/094  original registration   III
#> 6          100684 additional phase II-IV    IV
#> 7       49653/143 additional phase II-IV    IV
#> 8       49653/211 additional phase II-IV    IV
#> 9       49653/284 additional phase II-IV    IV
#> 10     712753/008 additional phase II-IV    IV
#> 11      AVM100264 additional phase II-IV    IV
#> 12 BRL 49653C/185 additional phase II-IV    IV
#> 13  BRL 49653/334 additional phase II-IV    IV
#> 14  BRL 49653/347 additional phase II-IV    IV
#> 15      49653/015 additional phase II-IV   III
#> 16      49653/079 additional phase II-IV   III
#> 17      49653/080 additional phase II-IV   III
#> 18      49653/082 additional phase II-IV   III
#> 19      49653/085 additional phase II-IV   III
#> 20      49653/095 additional phase II-IV   III
#> 21      49653/097 additional phase II-IV   III
#> 22      49653/125 additional phase II-IV   III
#> 23      49653/127 additional phase II-IV   III
#> 24      49653/128 additional phase II-IV   III
#> 25      49653/134 additional phase II-IV   III
#> 26      49653/135 additional phase II-IV   III
#> 27      49653/136 additional phase II-IV   III
#> 28      49653/145 additional phase II-IV   III
#> 29      49653/147 additional phase II-IV   III
#> 30      49653/162 additional phase II-IV   III
#> 31      49653/234 additional phase II-IV   III
#> 32      49653/330 additional phase II-IV   III
#> 33      49653/331 additional phase II-IV   III
#> 34      49653/137 additional phase II-IV   III
#> 35  SB-712753/002 additional phase II-IV   III
#> 36  SB-712753/003 additional phase II-IV   III
#> 37  SB-712753/007 additional phase II-IV   III
#> 38  SB-712753/009 additional phase II-IV   III
#> 39      49653/132 additional phase II-IV    II
#> 40      AVA100193 additional phase II-IV    II
#> 41          DREAM      recent randomized   III
#> 42          ADOPT      recent randomized   III
#>                                                      population   start     end
#> 1                                                     type 2 DM 1996-09 1997-09
#> 2                                                     type 2 DM 1996-10 1998-05
#> 3                                                     type 2 DM 1997-01 1998-02
#> 4                            type 2 DM poorly controlled on Met 1997-06 1998-04
#> 5                            type 2 DM poorly controlled on Met 1997-04 1998-03
#> 6                                Korean patients with type 2 DM 2003-12 2005-07
#> 7                            type 2 DM poorly controlled on Gly 2000-07 2003-01
#> 8                                            type 2 DM with CHF 2001-07 2003-11
#> 9                                                     type 2 DM 2001-06 2003-02
#> 10                           type 2 DM poorly controlled on Met 2003-06 2005-12
#> 11  overweight patients with type 2 DM poorly controlled on Met 2004-07 2006-01
#> 12                                                    type 2 DM 2000-05 2002-05
#> 13                     type 2 DM or insulin resistance syndrome 2002-03 2004-11
#> 14                       type 2 DM poorly controlled on insulin 2002-11 2004-04
#> 15                                                    type 2 DM 1996-08 1998-03
#> 16           type 2 DM poorly controlled on maximum dose of Gly 1997-04 1998-03
#> 17                                                    type 2 DM 1996-11 2000-05
#> 18                       type 2 DM poorly controlled on insulin 1997-07 1998-08
#> 19                                                    type 2 DM 2000-05 2001-06
#> 20                       type 2 DM poorly controlled on insulin 1997-08 1998-12
#> 21                                                    type 2 DM 1997-08 2001-01
#> 22                                                    type 2 DM 1999-05 2000-08
#> 23                           type 2 DM poorly controlled on Gly 1999-01 1999-12
#> 24                                   type 2 DM on concurrent Su 1999-05 2000-06
#> 25                                     type 2 DM on Gly and Met 1999-03 2000-08
#> 26                              elderly patients with type 2 DM 1999-05 2002-10
#> 27 type 2 DM with chronic renal failure on Su, insulin, or both 1999-07 2001-06
#> 28                                                    type 2 DM 1999-10 2000-11
#> 29                           Indo-Asian patients with type 2 DM 1999-07 2000-08
#> 30                                                    type 2 DM 2000-11 2002-04
#> 31                                                    type 2 DM 2001-01 2002-02
#> 32                                            chronic psoriasis 2003-01 2004-10
#> 33                                            chronic psoriasis 2003-01 2004-10
#> 34                                                    type 2 DM 2000-04 2004-03
#> 35                                  type 2 DM poorly controlled 2003-07 2004-06
#> 36                                               mild type 2 DM 2003-06 2004-12
#> 37                          type 2 DM w/o previous drug therapy 2003-10 2004-12
#> 38                                       type 2 DM with insulin 2003-10 2004-11
#> 39                             patients in China with type 2 DM 1999-04 2000-02
#> 40                         mild-to-moderate Alzheimer's disease 2004-01 2005-05
#> 41                impaired glucose tolerance or fasting glucose 2001-07 2003-08
#> 42                                 recently diagnosed type 2 DM 2000-04 2002-06
#>                                  treatment                              control weeks treat.total
#> 1                            rosiglitazone                              placebo    24         357
#> 2                            rosiglitazone                            glyburide    52         391
#> 3                            rosiglitazone                              placebo    26         774
#> 4  rosiglitazone with or without metformin                            metformin    26         213
#> 5              rosiglitazone and metformin                            metformin    26         232
#> 6              rosiglitazone and glyburide                            glyburide    52          43
#> 7              rosiglitazone and glyburide                            glyburide    24         121
#> 8             rosiglitazone and usual care                           usual care    52         110
#> 9              rosiglitazone and metformin                            metformin    24         382
#> 10             rosiglitazone and metformin                            metformin    48         284
#> 11             rosiglitazone and metformin           metformin and sulfonylurea    52         294
#> 12 rosiglitazone with or without metformin usual care with or without metformin    32         563
#> 13                           rosiglitazone                              placebo    52         278
#> 14               rosiglitazone and insulin                              insulin    24         418
#> 15          rosiglitazone and sulfonylurea                         sulfonylurea    24         395
#> 16 rosiglitazone with or without glyburide                            glyburide    26         203
#> 17                           rosiglitazone                            glyburide   156         104
#> 18               rosiglitazone and insulin                              insulin    26         212
#> 19               rosiglitazone and insulin                              insulin    26         138
#> 20               rosiglitazone and insulin                              insulin    26         196
#> 21                           rosiglitazone                            glyburide   156         122
#> 22          rosiglitazone and sulfonylurea                         sulfonylurea    26         175
#> 23             rosiglitazone and glyburide                            glyburide    26          56
#> 24                           rosiglitazone                              placebo    28          39
#> 25                           rosiglitazone                              placebo    28         561
#> 26             rosiglitazone and glipizide                            glipizide   104         116
#> 27                           rosiglitazone                              placebo    26         148
#> 28            rosiglitazone and gliclazide                           glyclazide    26         231
#> 29           rosiglitazone and sufonylruea                         sulfonylurea    26          89
#> 30             rosiglitazone and glyburide                            glyburide    26         168
#> 31           rosiglitazone and glimepiride                          glimepiride    26         116
#> 32                           rosiglitazone                              placebo    52        1172
#> 33                           rosiglitazone                              placebo    52         706
#> 34             rosiglitazone and metformin              glyburide and metformin    32         204
#> 35             rosiglitazone and metformin                            metformin    24         288
#> 36             rosiglitazone and metformin                            metformin    32         254
#> 37 rosiglitazone with or without metformin                            metformin    32         314
#> 38     rosiglitazone, metformin and isulin                              insulin    24         162
#> 39          rosiglitazone and sulfonylurea                         sulfonylurea    24         442
#> 40                           rosiglitazone                              placebo    24         394
#> 41                           rosiglitazone                              placebo   156        2635
#> 42                           rosiglitazone               metformin or glyburide   208        1456
#>    treat.infarction treat.death cont.total cont.infarction cont.death
#> 1                 2           1        176               0          0
#> 2                 2           0        207               1          0
#> 3                 1           0        185               1          0
#> 4                 0           0        109               1          0
#> 5                 1           1        116               0          0
#> 6                 0           0         47               1          0
#> 7                 1           0        124               0          0
#> 8                 5           3        114               2          2
#> 9                 1           0        384               0          0
#> 10                1           0        135               0          0
#> 11                0           2        302               1          1
#> 12                2           0        142               0          0
#> 13                2           0        279               1          1
#> 14                2           0        212               0          0
#> 15                2           2        198               1          0
#> 16                1           1        106               1          1
#> 17                1           0         99               2          0
#> 18                2           1        107               0          0
#> 19                3           1        139               1          0
#> 20                0           1         96               0          0
#> 21                0           0        120               1          0
#> 22                0           0        173               1          0
#> 23                1           0         58               0          0
#> 24                1           0         38               0          0
#> 25                0           1        276               2          0
#> 26                2           2        111               3          1
#> 27                1           2        143               0          0
#> 28                1           1        242               0          0
#> 29                1           0         88               0          0
#> 30                1           1        172               0          0
#> 31                0           0         61               0          0
#> 32                1           1        377               0          0
#> 33                0           1        325               0          0
#> 34                1           0        185               2          1
#> 35                1           1        280               0          0
#> 36                1           0        272               0          0
#> 37                1           0        154               0          0
#> 38                0           0        160               0          0
#> 39                1           1        112               0          0
#> 40                1           1        124               0          0
#> 41               15          12       2634               9         10
#> 42               27           2       2895              41          5

library(metafor)

############################################################
# reproduce original "Peto" analyses

# infarction
ma01 <- rma.peto(ai=treat.infarction, ci=cont.infarction,
                 n1i=treat.total, n2i=cont.total,
                 slab=study, data=dat.nissen2007)
#> Warning: Some yi/vi values are NA.
ma01
#> 
#> Equal-Effects Model (k = 42)
#> 
#> I^2 (total heterogeneity / total variability):  0.00%
#> H^2 (total variability / sampling variability): 0.79
#> 
#> Test for Heterogeneity: 
#> Q(df = 37) = 29.3607, p-val = 0.8102
#> 
#> Model Results (log scale):
#> 
#> estimate      se    zval    pval   ci.lb   ci.ub 
#>   0.3565  0.1663  2.1431  0.0321  0.0305  0.6825 
#> 
#> Model Results (OR scale):
#> 
#> estimate   ci.lb   ci.ub 
#>   1.4283  1.0309  1.9788 
#> 

# mortality
ma02 <- rma.peto(ai=treat.death, ci=cont.death,
                 n1i=treat.total, n2i=cont.total,
                 slab=study, data=dat.nissen2007)
#> Warning: Some yi/vi values are NA.
ma02
#> 
#> Equal-Effects Model (k = 42)
#> 
#> I^2 (total heterogeneity / total variability):  0.00%
#> H^2 (total variability / sampling variability): 0.49
#> 
#> Test for Heterogeneity: 
#> Q(df = 22) = 10.7495, p-val = 0.9781
#> 
#> Model Results (log scale):
#> 
#> estimate      se    zval    pval    ci.lb   ci.ub 
#>   0.4947  0.2627  1.8834  0.0596  -0.0201  1.0095 
#> 
#> Model Results (OR scale):
#> 
#> estimate   ci.lb   ci.ub 
#>   1.6400  0.9801  2.7443 
#> 

############################################################
# reproduce "Fixed, IV (CC)" analyses
# from Diamond/Bax/Kaul (2007), Table 1

# infarction
ma03 <- rma.uni(measure="OR", method="FE",
                drop00=TRUE,  # (exclude "double-zeroes")
                ai=treat.infarction, ci=cont.infarction,
                n1i=treat.total, n2i=cont.total,
                slab=study, data=dat.nissen2007)
#> Warning: 4 studies with NAs omitted from model fitting.
ma03
#> 
#> Fixed-Effects Model (k = 38)
#> 
#> I^2 (total heterogeneity / total variability):   0.00%
#> H^2 (total variability / sampling variability):  0.44
#> 
#> Test for Heterogeneity:
#> Q(df = 37) = 16.2200, p-val = 0.9988
#> 
#> Model Results:
#> 
#> estimate      se    zval    pval    ci.lb   ci.ub    
#>   0.2512  0.1599  1.5713  0.1161  -0.0621  0.5646    
#> 
#> ---
#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
#> 

# mortality
ma04 <- rma.uni(measure="OR", method="FE",
                drop00=TRUE,  # (exclude "double-zeroes")
                ai=treat.death, ci=cont.death,
                n1i=treat.total, n2i=cont.total,
                slab=study, data=dat.nissen2007)
#> Warning: 19 studies with NAs omitted from model fitting.
ma04
#> 
#> Fixed-Effects Model (k = 23)
#> 
#> I^2 (total heterogeneity / total variability):   0.00%
#> H^2 (total variability / sampling variability):  0.22
#> 
#> Test for Heterogeneity:
#> Q(df = 22) = 4.7900, p-val = 1.0000
#> 
#> Model Results:
#> 
#> estimate      se    zval    pval    ci.lb   ci.ub    
#>   0.2686  0.2478  1.0841  0.2783  -0.2170  0.7543    
#> 
#> ---
#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
#> 

############################################################
# estimate ORs based on a binomial GLMM
# (with *fixed* study effects)
# ("model 4" in Jackson et al., 2018)

# infarction
ma05 <- rma.glmm(measure="OR", model="UM.FS",
                 ai=treat.infarction, ci=cont.infarction,
                 n1i=treat.total, n2i=cont.total,
                 slab=study, data=dat.nissen2007)
#> Warning: 4 studies with NAs omitted from model fitting.
#> Warning: Some yi/vi values are NA.
#> Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred
ma05
#> 
#> Random-Effects Model (k = 38; tau^2 estimator: ML)
#> Model Type: Unconditional Model with Fixed Study Effects
#> 
#> tau^2 (estimated amount of total heterogeneity): 0
#> tau (square root of estimated tau^2 value):      0
#> I^2 (total heterogeneity / total variability):   0.00%
#> H^2 (total variability / sampling variability):  1.00
#> 
#> Tests for Heterogeneity:
#> Wld(df = 37) = 5.7016, p-val = 1.0000
#> LRT(df = 37) = 39.1360, p-val = 0.3741
#> 
#> Model Results:
#> 
#> estimate      se    zval    pval   ci.lb   ci.ub    
#>   0.3554  0.1664  2.1359  0.0327  0.0293  0.6814  * 
#> 
#> ---
#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
#> 

# mortality
ma06 <- rma.glmm(measure="OR", model="UM.FS",
                 ai=treat.death, ci=cont.death,
                 n1i=treat.total, n2i=cont.total,
                 slab=study, data=dat.nissen2007)
#> Warning: 19 studies with NAs omitted from model fitting.
#> Warning: Some yi/vi values are NA.
#> Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred
ma06
#> 
#> Random-Effects Model (k = 23; tau^2 estimator: ML)
#> Model Type: Unconditional Model with Fixed Study Effects
#> 
#> tau^2 (estimated amount of total heterogeneity): 0
#> tau (square root of estimated tau^2 value):      0
#> I^2 (total heterogeneity / total variability):   0.00%
#> H^2 (total variability / sampling variability):  1.00
#> 
#> Tests for Heterogeneity:
#> Wld(df = 22) = 1.0171, p-val = 1.0000
#> LRT(df = 22) = 16.9513, p-val = 0.7660
#> 
#> Model Results:
#> 
#> estimate      se    zval    pval    ci.lb   ci.ub    
#>   0.5092  0.2727  1.8671  0.0619  -0.0253  1.0438  . 
#> 
#> ---
#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
#> 

############################################################
# estimate ORs based on binomial GLMM
# (with *random* study effects)
# ("model 5" in Jackson et al., 2018)

# infarction
ma07 <- rma.glmm(measure="OR", model="UM.RS", nAGQ=1,
                 ai=treat.infarction, ci=cont.infarction,
                 n1i=treat.total, n2i=cont.total,
                 slab=study, data=dat.nissen2007)
#> Warning: 4 studies with NAs omitted from model fitting.
#> Warning: Some yi/vi values are NA.
#> Warning: failure to converge in 10000 evaluations
#> Warning: convergence code 4 from Nelder_Mead: failure to converge in 10000 evaluations
ma07
#> 
#> Random-Effects Model (k = 38; tau^2 estimator: ML)
#> Model Type: Unconditional Model with Random Study Effects
#> 
#> tau^2 (estimated amount of total heterogeneity): 0
#> tau (square root of estimated tau^2 value):      0
#> I^2 (total heterogeneity / total variability):   0.00%
#> H^2 (total variability / sampling variability):  1.00
#> 
#> sigma^2 (estimated amount of study level variability): 0.4997
#> sigma (square root of estimated sigma^2 value):        0.7069
#> 
#> Tests for Heterogeneity:
#> Wld(df = 37) = 23.3462, p-val = 0.9607
#> LRT(df = 37) = 33.9645, p-val = 0.6121
#> 
#> Model Results:
#> 
#> estimate      se    zval    pval    ci.lb   ci.ub    
#>   0.2962  0.1684  1.7593  0.0785  -0.0338  0.6262  . 
#> 
#> ---
#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
#> 

# mortality
ma08 <- rma.glmm(measure="OR", model="UM.RS", nAGQ=1,
                 ai=treat.death, ci=cont.death,
                 n1i=treat.total, n2i=cont.total,
                 slab=study, data=dat.nissen2007)
#> Warning: 19 studies with NAs omitted from model fitting.
#> Warning: Some yi/vi values are NA.
ma08
#> 
#> Random-Effects Model (k = 23; tau^2 estimator: ML)
#> Model Type: Unconditional Model with Random Study Effects
#> 
#> tau^2 (estimated amount of total heterogeneity): 0
#> tau (square root of estimated tau^2 value):      0
#> I^2 (total heterogeneity / total variability):   0.00%
#> H^2 (total variability / sampling variability):  1.00
#> 
#> sigma^2 (estimated amount of study level variability): 0.3040
#> sigma (square root of estimated sigma^2 value):        0.5513
#> 
#> Tests for Heterogeneity:
#> Wld(df = 22) = 24.9143, p-val = 0.3012
#> LRT(df = 22) = 23.2507, p-val = 0.3877
#> 
#> Model Results:
#> 
#> estimate      se    zval    pval    ci.lb   ci.ub    
#>   0.4463  0.2761  1.6165  0.1060  -0.0948  0.9874    
#> 
#> ---
#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
#> 

############################################################
# estimate ORs based on hypergeometric model
# (model 7 (approx.) in Jackson et al., 2018)

# infarction
ma09 <- rma.glmm(measure="OR", model="CM.AL",
                 ai=treat.infarction, ci=cont.infarction,
                 n1i=treat.total, n2i=cont.total,
                 slab=study, data=dat.nissen2007)
#> Warning: 4 studies with NAs omitted from model fitting.
#> Warning: Some yi/vi values are NA.
ma09
#> 
#> Random-Effects Model (k = 38; tau^2 estimator: ML)
#> Model Type: Conditional Model with Approximate Likelihood
#> 
#> tau^2 (estimated amount of total heterogeneity): 0
#> tau (square root of estimated tau^2 value):      0
#> I^2 (total heterogeneity / total variability):   0.00%
#> H^2 (total variability / sampling variability):  1.00
#> 
#> Tests for Heterogeneity:
#> Wld(df = 37) = 5.6239, p-val = 1.0000
#> LRT(df = 37) = 38.9844, p-val = 0.3806
#> 
#> Model Results:
#> 
#> estimate      se    zval    pval   ci.lb   ci.ub    
#>   0.3510  0.1653  2.1235  0.0337  0.0270  0.6751  * 
#> 
#> ---
#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
#> 

# mortality
ma10 <- rma.glmm(measure="OR", model="CM.AL",
                 ai=treat.death, ci=cont.death,
                 n1i=treat.total, n2i=cont.total,
                 slab=study, data=dat.nissen2007)
#> Warning: 19 studies with NAs omitted from model fitting.
#> Warning: Some yi/vi values are NA.
ma10
#> 
#> Random-Effects Model (k = 23; tau^2 estimator: ML)
#> Model Type: Conditional Model with Approximate Likelihood
#> 
#> tau^2 (estimated amount of total heterogeneity): 0
#> tau (square root of estimated tau^2 value):      0
#> I^2 (total heterogeneity / total variability):   0.00%
#> H^2 (total variability / sampling variability):  1.00
#> 
#> Tests for Heterogeneity:
#> Wld(df = 22) = 1.0062, p-val = 1.0000
#> LRT(df = 22) = 16.9181, p-val = 0.7679
#> 
#> Model Results:
#> 
#> estimate      se    zval    pval    ci.lb   ci.ub    
#>   0.5064  0.2720  1.8617  0.0626  -0.0267  1.0395  . 
#> 
#> ---
#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
#> 

############################################################
# tabulate estimates and CIs

# log-OR infarction
logOR.inf <- rbind("Peto"    =c("OR"=ma01$b, "lower"=ma01$ci.lb, "upper"=ma01$ci.ub),
                   "IV-CC"   =c("OR"=ma03$b, "lower"=ma03$ci.lb, "upper"=ma03$ci.ub),
                   "M4-UM.FS"=c("OR"=ma05$b, "lower"=ma05$ci.lb, "upper"=ma05$ci.ub),
                   "M5-UM.RS"=c("OR"=ma07$b, "lower"=ma07$ci.lb, "upper"=ma07$ci.ub),
                   "M7-CM.AL"=c("OR"=ma09$b, "lower"=ma09$ci.lb, "upper"=ma09$ci.ub))

# log-OR mortality
logOR.mort <- rbind("Peto"    =c("OR"=ma02$b, "lower"=ma02$ci.lb, "upper"=ma02$ci.ub),
                    "IV-CC"   =c("OR"=ma04$b, "lower"=ma04$ci.lb, "upper"=ma04$ci.ub),
                    "M4-UM.FS"=c("OR"=ma06$b, "lower"=ma06$ci.lb, "upper"=ma06$ci.ub),
                    "M5-UM.RS"=c("OR"=ma08$b, "lower"=ma08$ci.lb, "upper"=ma08$ci.ub),
                    "M7-CM.AL"=c("OR"=ma10$b, "lower"=ma10$ci.lb, "upper"=ma10$ci.ub))

# show ORs (infarction)
round(exp(logOR.inf), 2)
#>          OR.intrcpt lower upper
#> Peto           1.43  1.03  1.98
#> IV-CC          1.29  0.94  1.76
#> M4-UM.FS       1.43  1.03  1.98
#> M5-UM.RS       1.34  0.97  1.87
#> M7-CM.AL       1.42  1.03  1.96
# show ORs (mortality)
round(exp(logOR.mort), 2)
#>          OR.intrcpt lower upper
#> Peto           1.64  0.98  2.74
#> IV-CC          1.31  0.80  2.13
#> M4-UM.FS       1.66  0.97  2.84
#> M5-UM.RS       1.56  0.91  2.68
#> M7-CM.AL       1.66  0.97  2.83