Statistical characterization and development of summary measures of non-normal distributions of nuclear morphometry data from prostate cancer cells for use as prognostic indicators

Nuclear morphometry (NM) uses image analysis to measure features of the cell nucleus which are classified as: bulk properties, shape or form, and DNA distribution. Studies have used these measurements as diagnostic and prognostic indicators of disease with inconclusive results. The distributional properties of these variables have not been systematically investigated although much of the medical data exhibit nonnormal distributions. Measurements are done on several hundred cells per patient so summary measurements reflecting the underlying distribution are needed.^ Distributional characteristics of 34 NM variables from prostate cancer cells were investigated using graphical and analytical techniques. Cells per sample ranged from 52 to 458. A small sample of patients with benign prostatic hyperplasia (BPH), representing non-cancer cells, was used for general comparison with the cancer cells.^ Data transformations such as log, square root and 1/x did not yield normality as measured by the Shapiro-Wilks test for normality. A modulus transformation, used for distributions having abnormal kurtosis values, also did not produce normality.^ Kernel density histograms of the 34 variables exhibited non-normality and 18 variables also exhibited bimodality. A bimodality coefficient was calculated and 3 variables: DNA concentration, shape and elongation, showed the strongest evidence of bimodality and were studied further.^ Two analytical approaches were used to obtain a summary measure for each variable for each patient: cluster analysis to determine significant clusters and a mixture model analysis using a two component model having a Gaussian distribution with equal variances. The mixture component parameters were used to bootstrap the log likelihood ratio to determine the significant number of components, 1 or 2. These summary measures were used as predictors of disease severity in several proportional odds logistic regression models. The disease severity scale had 5 levels and was constructed of 3 components: extracapsulary penetration (ECP), lymph node involvement (LN+) and seminal vesicle involvement (SV+) which represent surrogate measures of prognosis. The summary measures were not strong predictors of disease severity. There was some indication from the mixture model results that there were changes in mean levels and proportions of the components in the lower severity levels. ^

The association between uterus shape and development of chronic conditions in a retrospective corhort of diethylstilbestrol-exposed women in Minnesota and Texas

Diethylstilbestrol (DES) exposed women are well known to be at increased risk of gynecologic cancers and infertility. Infertility may result from DES associated abnormalities in the shape of women's uteri, yet little research has addressed the effect of uterine abnormalities on risk of infertility and reproductive tract infection. Changes in uterine shape may also influence the risk of autoimmune disease and women's subsequent mental health. A sample of consenting women exposed in utero to hormone who were recruited into the DESAD project, underwent hysterosalpingogram (HSG) from 1978 to 1984. These women also completed a comprehensive health questionnaire in 1994 which included women's self-reports of chronic conditions. HSG data were used to categorize uterine shape abnormalities as arcuate shape, hypoplastic, wide lower segment, and constricted. Women were recruited from two of the four DESAD study sites in Houston (Baylor) and Minnesota (Mayo). All women were DES-exposed. Adjusted relative risk estimates were calculated comparing the range of abnormal uterine shaped to women with normal shaped uteri for each of the four outcomes: infertility, reproductive tract infection, autoimmune disease and depressive symptoms. Only the arcuate shape (n=80) was associated with a higher risk of infertility (relative risk [RR]= 1.53, 95% CI = 1.09, 2.15) as well as reproductive tract infection (RR= 1.74, 95% CI = 1.11, 2.73). In conclusion, DES-associated arcuate shaped uteri appeared to be associated with the higher risk of a reproductive tract infection and infertility while no other abnormal uterine shapes were associated with these two outcomes.^