Random effects (RE) models (continuous and binary) will be developed,
implemented, and tested to improve analysis of correlated data
encountered in clinical oncology research. Correlated clinical data are
common in meta-analyses, family studies, and risk assessments. For
example, two summary statistics (e.g., means) from the same study are
correlated data. Measurements of cancer risk from members within a
family tend to be more alike than cancer risk measurements from members
of different families. Assumption of a common random component shared
by outcomes of the same study or members of the same family is
proposed. Two types of random effects models based on whether outcomes
are continuous or binary (yes/no) will be developed theoretically and
numerically. These statistical methods will be compared with existing
methods through analysis and simulation. The new methods will be
applied to epidemiological and clinical oncology research data sets.
Continuous and binary random effects models arise from many
applications, such as, meta-analysis of cancer research data and
analysis of family cancer risk data. However, the two types of random
effects models have the same data structure (i.e., correlated data) and
the same statistical framework (i.e., random effects model). In meta-
analysis, an EM algorithm (Dempster, et al., 1977) [20] will be
obtained under the additive model for the maximum likelihood estimate
(MLE). This will be generalized to a mixed model which permits both
study- and group-specific covariates. Analytic models which allow both
covariate types are needed for meta-analysis of the relationship
between estrogen replacement therapy and breast cancer risk. A
multiplicative random effects model will then be formulated as an
alternative for meta-analysis of odds ratios (rather than log odds
ratios in the additive model) to allow for combining relative risk in
epidemiological studies. A random effects logistic regression model for
analysis of clustered binary measurements will be developed to evaluate
family cancer risk data. This model will be applied to multivariate
survival data obtained from family studies.
Fully documented computer programs that implement the proposed random
effects models will be written in house and tested at several
collaborative sites. The programs will be made generally available via
anonymous ftp on the Internet. Performance of the proposed analytic
models and computer programs will be assessed by simulations. Extensive
analyses of actual data will be done including tumor measurements
comparison, estrogen replacement therapy and breast cancer risk, breast
cancer in African-American women, bone marrow transplantation versus
chemotherapy in the treatment of acute leukemia, and the Chinese family
study of esophageal cancer, among others. Analyses of these data will
identify specific methodologic areas that require refinement and
extension.
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- The DCCPS Team.