scholarly journals Statistical modeling and verification for the synthesis of median survival time in multilevel meta-analysis of survival data

2015 ◽  
Vol 1 (1) ◽  
pp. 25 ◽  
Author(s):  
Jiajie Zang ◽  
Jinfang Xu ◽  
Chun Xiang ◽  
Shurong Zou ◽  
Jia He

Objective: Past meta-analyses of survival data have been over simplistic because of restricting to proportional hazard model, lackof intuitive results, and potential omitting information. These had the potential to recommend sub-optimal policies. Here wedevelop multilevel methods for combining median survival times (MSTs) for meta-analysis of survival data.Methods: We used simulated data to test and verify the synthesis model we developed. We generated the study-level data to fit multilevel model and individual patient data to calculate gold standard. We then used the Bland-Altman method and the relativechange from the gold standard to evaluate the fit of the models. Examples were presented in a meta-analysis to illustrate the feasibility of the models.Results: We generated eight sets of simulated datasets of different number of studies and sample size. We established themulti-level fixed and random effect models to pool the MSTs. The test of the fitness of the model showed that the means ofdifference (d) for all simulated datasets between the calculated values and the gold standards are no more than -0.230 and -0.329days and the largest 95% CIs of d are -3.823 3.364 and -3.936 3.278 days respectively. At least 91.9% and 92.3% of the difference between the estimated values and the gold standards are small. The real examples of a meta-analysis were provided with combined MSTs along with pooled HR.Conclusions: The multilevel models of synthesizing MSTs in survival data AD meta-analysis were verified with good fitting effects and provide more intuitive information.

2005 ◽  
Vol 21 (1) ◽  
pp. 119-125 ◽  
Author(s):  
Stefan Michiels ◽  
Pascal Piedbois ◽  
Sarah Burdett ◽  
Nathalie Syz ◽  
Lesley Stewart ◽  
...  

Background:The hazard ratio (HR) is the most appropriate measure for time to event outcomes such as survival. In systematic reviews, HRs can be calculated either from the raw trial data obtained as part of an individual patient data (IPD) meta-analysis or from the appropriate trial-level summary statistics. However, the information required for the latter are seldom reported in sufficient detail to allow reviewers to calculate HRs. In contrast, the median survival and survival rates at specific time points are frequently presented. We aimed to evaluate retrospectively the performance of meta-analyses using median survival times and survival rates by comparing them with meta-analyses using IPD to calculate HRs.Methods:IPD from thirteen published meta-analyses (MAs) in cancers with high mortality rates were used. Median survival and survival rates were calculated from the IPD rather than taken from publications so that the same trials, patients, and extended follow-up are used in each analysis.Results and Conclusions:We show that using median survival times or survival rates at a particular point in time are not reasonable surrogate measures for meta-analyses of survival outcomes and that, wherever possible, HRs should be calculated. Individual trial publications reporting on time to event outcomes, therefore, should provide more detailed statistical information, preferably logHRs and their variances, or their estimators.


2021 ◽  
Vol 28 ◽  
pp. 107327482110119
Author(s):  
Guofeng Chen ◽  
Jun Wang ◽  
Kaibo Chen ◽  
Muxing Kang ◽  
Hang Zhang ◽  
...  

Background: Whether the presence of postoperative complications was associated with poor prognosis of gastric carcinoma (GC) patients remain controversial. This meta-analysis was designed and reported to compare the survival difference between patients with complications and non-complications. Methods: Cochrane Library, PubMed and Embase databases were comprehensively searched for published literatures to review current evidence on this topic. The survival data were extracted, and a random-effect or fixed-effect model was used to analyze the correlation between postoperative complications and oncologic outcome of GC patients. Results: Of all studies identified, 32 were eligible for this pooled analysis, with a total of 32,067 GC patients. The incidence of postoperative complications was approximately 12.5% to 51.0%. Among them, infectious complications varied from 3.0% to 28.6%, anastomotic leakage varied from 1.1% to 8.7% and postoperative pneumonia varied from 1.6% to 12.8%. The presence of postoperative complications resulted in a significant poorer overall survival (OS) of gastric carcinoma patients (hazard ratio [HR]:1.49, 95% confidence interval [CI]: 1.33-1.67, P < 0.001). Additionally, the pooled results showed a significant correlation between infectious complications and decreased OS (HR: 1.61, 95%CI: 1.38-1.88, P < 0.001). Concerning specific postoperative complications, we found that both anastomotic leakage (HR: 2.36, 95%CI: 1.62-3.42, P < 0.001) and postoperative pneumonia (HR: 1.74, 95%CI: 1.22-2.49, P = 0.002) impaired the OS of gastric carcinoma patients. Conclusion: Postoperative complications were significantly correlated to recurrence and poor survival in gastric carcinoma patients. To gain a better surgical outcome and long-term oncological outcome, postoperative complications should be minimized as much as possible.


Blood ◽  
2016 ◽  
Vol 128 (22) ◽  
pp. 2045-2045 ◽  
Author(s):  
Varun Ektare ◽  
Christopher P. Fox ◽  
Rod S Taylor ◽  
Inocencio J Timothy ◽  
German E Pena ◽  
...  

Abstract Introduction: Chronic lymphocytic leukemia (CLL) is an incurable, indolent neoplasm of B lymphocytes, associated with a heterogeneous clinical course. Complete response (CR) with or without minimal residual disease in first-line chemoimmunotherapy has been associated with more favorable progression-free survival (PFS) and overall survival (OS). However, patients with R/R CLL and/or those with TP53 abnormalities (ie, 17p deletion and/or TP53 mutation) are less likely to achieve deep responses and experience poorer outcomes. Therefore, less is known about the relationship between complete response and survival outcomes in R/R CLL patients. To quantify this association, we generated meta-analytic estimates of PFS and OS reported in clinical trials using the proportion of study patients with CR as a predictor variable. Methods: We performed a systematic literature review of PubMed and EMBASE up to November 2014 and congress abstracts between 2012 and 2014. Randomized controlled trials and observational studies evaluating any treatment in R/R CLL patients were eligible for inclusion. Data were extracted from publications as median survival, the proportions of patients surviving at specific follow-up times, or individual event or censoring times from reported Kaplan-Meier (KM) curves, along with the proportion of patients with CR. Data were synthesized to estimate overall OS and PFS including population-level CR as a covariate using a Weibull proportional hazards model within a Bayesian meta-analysis framework. Results: 74 published studies of treatment outcomes in R/R CLL patients were identified from the peer-reviewed literature and congress abstracts. 56 of these studies reported the proportion of CRs together with either OS or PFS outcomes and were included in the analysis. Individual patient data were extracted from KM curves of 29 studies generating 5176 individual patient OS and PFS data points in addition to 54 study-level data points including 3638 patients. There were no clinically meaningful differences in study or patient characteristics among the included studies that were not also associated with CR, our variable of interest. The hazard ratio (HR; and 95% credible interval, the Bayesian analog to confidence intervals) of survival for each 10% increase in CR among a study population was estimated to be 0.64 (0.60, 0.68). Estimated median OS for hypothetical populations with 0% CR, 25% CR, or 50% CR were 20.4 mo, 44.7 mo, and 61.9 mo. Corresponding median PFS estimates were 10.0 mo, 21.9 mo, and 30.3 mo. (Figure) Conclusions: We have demonstrated that the attainment of CR is significantly associated with longer OS and PFS outcomes in R/R CLL at the study level. Moreover this can be expressed linearly, with each 10% increase in CR rate corresponding to a 36% reduction in the risk of progression or death. To our knowledge, this is the first meta-analysis to quantify the relationship between CR and survival outcomes in R/R CLL patients. It must be noted that these results reflect the study (population) level CR versus survival association and therefore do not necessarily represent the expected survival gain associated with an individual achieving CR. Further, CR is less likely to be achieved in patients with TP53 abnormalities, a factor not explicitly considered in our analysis. These results synthesize data from 56 clinical trials and strongly support the importance of achieving CR to improve long-term outcomes in R/R CLL patients. In particular, given the negative association between CR and TP53 abnormalities, treatments focused on improving the likelihood of CR in these hard-to-treat patients are likely to confer the greatest impact on survival outcomes. Figure Weibull meta-analysis estimates of OS (A) and PFS (B) with median survival times for a population with 0% CR, 25% CR and 50% CR Figure. Weibull meta-analysis estimates of OS (A) and PFS (B) with median survival times for a population with 0% CR, 25% CR and 50% CR Disclosures Ektare: Pharmerit International, paid consultants to AbbVie: Employment. Fox:AbbVie: Consultancy; Gilead: Honoraria, Other: travel funding; Takeda: Honoraria, Other: travel funding; Janssen: Honoraria, Other: travel funding; Adienne: Honoraria, Research Funding. Taylor:AbbVie: Consultancy. Timothy:Pharmerit International, paid consultants to AbbVie: Employment. Pena:AbbVie: Employment, Equity Ownership. Maher:AbbVie: Employment, Equity Ownership. Snedecor:Pharmerit International, paid consultants to AbbVie: Employment.


Healthcare ◽  
2019 ◽  
Vol 7 (4) ◽  
pp. 123 ◽  
Author(s):  
Lode K.J. Vandamme ◽  
Peter A.A.F. Wouters ◽  
Gerrit D. Slooter ◽  
Ignace H.J.T. de Hingh

Survival functions are often characterized by a median survival time or a 5-year survival. Whether or not such representation is sufficient depends on tumour development. Different tumour stages have different mean survival times after therapy. The validity of an exponential decay and the origins of deviations are substantiated. The paper shows, that representation of survival data as logarithmic functions visualizes differences better, which allows for differentiating short- and long-term dynamic lifetime. It is more instructive to represent the changing lifetime expectancy for an individual who has survived a certain time, which can be significantly different from the initial expectation just after treatment. Survival data from 15 publications on cancer are compared and re-analysed based on the well-established: (i) exponential decay (ii) piecewise constant hazard (iii) Weibull model and our proposed parametric survival models, (iv) the two-τ and (v) the sliding-τ model. The new models describe either accelerated aging or filtering out of defects with numerical parameters with a physical meaning and add information to the usually provided log-rank P-value or median survival. The statistical inhomogeneity in a group by mixing up different tumour stages, metastases and treatments is the main origin for deviations from the exponential decay.


Blood ◽  
1984 ◽  
Vol 63 (5) ◽  
pp. 1072-1079 ◽  
Author(s):  
E Fritz ◽  
H Ludwig ◽  
M Kundi

Abstract Morphological characteristics of tumor cells have been employed in the prognosis of lymphomas and solid tumors. This report documents an attempt to predict survival from the known cytologic heterogeneity in multiple myeloma. Myeloma cells in bone marrow smears from patients at diagnosis were evaluated by assigning them to morphologically defined categories. Cox's multivariate regression model for censored survival data was used to generate optimal weights, which served as coefficients in two regression equations to estimate death risk from cellular morphology. Step-wise procedures excluded redundant parameters. “Myeloma morphology score” (MMS) discriminates significantly (p less than 0.0001) among 3 stages, with median survival times of 42.5, 30.7, and 9.1 mo. For clinical routine application, “myeloma progression scorex201D; (MPS), the weight sum of the proportion of plasmablasts and the extent of bone marrow plasma cell infiltration, is suggested as a simple prognostic tool. Its discriminative power is very high [p less than 10(-9)]. Median survival times of greater than 71.5, 23.4, and 6.1 mo were found for good, moderate, and poor risk groups, respectively. However, staging is not confined to three subgroups, grouping is flexible, and pairs of data can be matched. This fact may prove to be valuable in designing prognosis-controlled clinical trials or theoretical studies on cellular differentiation. Preliminary results suggest changes in morphology due to disease progression and/or the effect of therapy on tumor kinetics. Most importantly, staging according to MPS or MMS may facilitate the adaption of therapy to the current state of the disease in patients with multiple myeloma.


2016 ◽  
Author(s):  
CR Tench ◽  
Radu Tanasescu ◽  
WJ Cottam ◽  
CS Constantinescu ◽  
DP Auer

1AbstractLow power in neuroimaging studies can make them difficult to interpret, and Coordinate based meta‐ analysis (CBMA) may go some way to mitigating this issue. CBMA has been used in many analyses to detect where published functional MRI or voxel-based morphometry studies testing similar hypotheses report significant summary results (coordinates) consistently. Only the reported coordinates and possibly t statistics are analysed, and statistical significance of clusters is determined by coordinate density.Here a method of performing coordinate based random effect size meta-analysis and meta-regression is introduced. The algorithm (ClusterZ) analyses both coordinates and reported t statistic or Z score, standardised by the number of subjects. Statistical significance is determined not by coordinate density, but by a random effects meta-analyses of reported effects performed cluster-wise using standard statistical methods and taking account of censoring inherent in the published summary results. Type 1 error control is achieved using the false cluster discovery rate (FCDR), which is based on the false discovery rate. This controls both the family wise error rate under the null hypothesis that coordinates are randomly drawn from a standard stereotaxic space, and the proportion of significant clusters that are expected under the null. Such control is vital to avoid propagating and even amplifying the very issues motivating the meta-analysis in the first place. ClusterZ is demonstrated on both numerically simulated data and on real data from reports of grey matter loss in multiple sclerosis (MS) and syndromes suggestive of MS, and of painful stimulus in healthy controls. The software implementation is available to download and use freely.


2020 ◽  
Vol 13 (1) ◽  
pp. e2021006
Author(s):  
Stergios Intzes ◽  
Marianthi Symeonidou ◽  
Konstantinos Zagoridis ◽  
Aikaterini Pentidou ◽  
Spanoudakis Emmanouil

Socioeconomic status (SES) is reflecting differences in sociodemographic factors affecting cancer survivorship. Deprived, low SES populations has a higher prevalence of multiple myeloma and worst survival, a gap that widens over time. Methods: We performed a meta-analysis of 16 studies (registries and cohorts) reporting survival data of myeloma patients according to SES. Ten studies reported Hazzard Ratio (HR) (95 % CI) and 16 studies reported p values. We combined the HR from 10 studies and by using the Mosteller-Bush formula we performed the synthesis of p values according to the area of the globe. Results: A combination of HR from 10 studies including 85198 myeloma patients weighted to sample size of each study and adopting the hypothesis of random effect returned a combined HR: 1,26 (1,13-1,31) in favor of high SES patients. USA: Synthesis of p values coming from  6 studies (n=89807 pts) by using the Mosteller and Bush formula extracted a p-value of <0.0001 favoring high SES patients Oceania: Synthesis of p values in two cohorts from Australia and New Zealand (n= 10196 pts) returned a p-value of 0,022 favoring high SES patients Europe: The synthesis of p values from UK and Greece studies (n=18533 pts) returned a p-value of <0,0001 favoring high SES patients Asia: Synthesis of 2 studies from Asia (n=915 pts) returned a p-value of <0,0001 favoring high SES patients Conclusions: Across the globe and widening over decades socioeconomic status remains a gap for equality in myeloma care


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