The physician's perception of medical error and its application to the development of an educational training tool.

It is becoming clear that if we are to impact the rate of medical errors it will have to be done at the practicing physician level. The purpose of this project was to survey the attitude of physicians in Alabama concerning their perception of medical error, and to obtain their thoughts and desires for medical education in the area of medical errors. The information will be used in the development of a physician education program.

Estimating the mean and standard deviation of concentration distributions using censored samples

Environmental data sets of pollutant concentrations in air, water, and soil frequently include unquantified sample values reported only as being below the analytical method detection limit. These values, referred to as censored values, should be considered in the estimation of distribution parameters as each represents some value of pollutant concentration between zero and the detection limit. Most of the currently accepted methods for estimating the population parameters of environmental data sets containing censored values rely upon the assumption of an underlying normal (or transformed normal) distribution. This assumption can result in unacceptable levels of error in parameter estimation due to the unbounded left tail of the normal distribution. With the beta distribution, which is bounded by the same range of a distribution of concentrations, $\rm\lbrack0\le x\le1\rbrack,$ parameter estimation errors resulting from improper distribution bounds are avoided. This work developed a method that uses the beta distribution to estimate population parameters from censored environmental data sets and evaluated its performance in comparison to currently accepted methods that rely upon an underlying normal (or transformed normal) distribution. Data sets were generated assuming typical values encountered in environmental pollutant evaluation for mean, standard deviation, and number of variates. For each set of model values, data sets were generated assuming that the data was distributed either normally, lognormally, or according to a beta distribution. For varying levels of censoring, two established methods of parameter estimation, regression on normal ordered statistics, and regression on lognormal ordered statistics, were used to estimate the known mean and standard deviation of each data set. The method developed for this study, employing a beta distribution assumption, was also used to estimate parameters and the relative accuracy of all three methods were compared. For data sets of all three distribution types, and for censoring levels up to 50%, the performance of the new method equaled, if not exceeded, the performance of the two established methods. Because of its robustness in parameter estimation regardless of distribution type or censoring level, the method employing the beta distribution should be considered for full development in estimating parameters for censored environmental data sets. ^

Multiple imputation for missing continuous and dichotomous data: The effects of patterns of missingness and variable correlations on type I error with small samples

The purpose of this study is to investigate the effects of predictor variable correlations and patterns of missingness with dichotomous and/or continuous data in small samples when missing data is multiply imputed. Missing data of predictor variables is multiply imputed under three different multivariate models: the multivariate normal model for continuous data, the multinomial model for dichotomous data and the general location model for mixed dichotomous and continuous data. Subsequent to the multiple imputation process, Type I error rates of the regression coefficients obtained with logistic regression analysis are estimated under various conditions of correlation structure, sample size, type of data and patterns of missing data. The distributional properties of average mean, variance and correlations among the predictor variables are assessed after the multiple imputation process. ^ For continuous predictor data under the multivariate normal model, Type I error rates are generally within the nominal values with samples of size n = 100. Smaller samples of size n = 50 resulted in more conservative estimates (i.e., lower than the nominal value). Correlation and variance estimates of the original data are retained after multiple imputation with less than 50% missing continuous predictor data. For dichotomous predictor data under the multinomial model, Type I error rates are generally conservative, which in part is due to the sparseness of the data. The correlation structure for the predictor variables is not well retained on multiply-imputed data from small samples with more than 50% missing data with this model. For mixed continuous and dichotomous predictor data, the results are similar to those found under the multivariate normal model for continuous data and under the multinomial model for dichotomous data. With all data types, a fully-observed variable included with variables subject to missingness in the multiple imputation process and subsequent statistical analysis provided liberal (larger than nominal values) Type I error rates under a specific pattern of missing data. It is suggested that future studies focus on the effects of multiple imputation in multivariate settings with more realistic data characteristics and a variety of multivariate analyses, assessing both Type I error and power. ^

Comparison of compliance and immune response of drug users on the standard and accelerated hepatitis B vaccine schedules - Houston, Texas

Despite the availability of hepatitis B vaccine for over two decades, drug users and other high-risk adult populations have experienced low vaccine coverage. Poor compliance has limited efforts to reduce transmission of hepatitis B infection in this population. Evidence suggests that immunological response in drug users is impaired compared to the general population, both in terms of lower seroprotection rates and antibodies levels.^ The current study investigated the effectiveness of the multi-dose hepatitis B vaccine and compared the effect of the standard and accelerated vaccine schedules in a not-in-treatment, drug-using adult population in the city of Houston, USA.^ A population of drug-users from two communities in Houston, susceptible to hepatitis B, was sampled by outreach workers and referral methodology. Subjects were randomized either to the standard hepatitis vaccine schedule (0, 1-, 6-month) or to an accelerated schedule (0, 1-, 2-month). Antibody levels were detected through laboratory analyses at various time-points. The participants were followed for two years and seroconversion rates were calculated to determine immune response.^ A four percent difference in the overall compliance rate was observed between the standard (73%) and accelerated schedules (77%). Logistic regression analyses showed that drug users living on the streets were twice as likely to not complete all three vaccine doses (p=0.028), and current speedball use was also associated with non-completion (p=0.002). Completion of all three vaccinations in the multivariate analysis was also correlated with older age. Drug users on the accelerated schedule were 26% more likely to achieve completion, although this factor was marginally significant (p=0.085).^ Cumulative adequate protective response was gained by 65% of the HBV susceptible subgroup by 12-months and was identical for both the standard and accelerated schedules. Excess protective response (>=100 mIU/mL) occurred with greater frequency at the later period for the standard schedule (36% at 12-months compared to 14% at six months), while the greater proportion of excess protective response for the accelerated schedule occurred earlier (34% at 6 months compared to 18% at 12-months). Seroconversion at the adequate protective response level of 10 mIU/mL was reached by the accelerated schedule group at a quicker rate (62% vs. 49%), and with a higher mean titer (104.8 vs. 64.3 mIU/mL), when measured at six months. Multivariate analyses indicated a 63% increased risk of non-response for older age and confirmed the existence of an accelerating decline in immune response to vaccination manifesting after 40 years (p=0.001). Injecting more than daily was also highly associated with the risk of non-response (p=0.016).^ The substantial increase in the seroprotection rate at six months may be worth the trade-off against the faster antibody titer decrease and is recommended for enhancing compliance and seroconversion. Utilization of the accelerated schedule with the primary objective of increasing compliance and seroconversion rates during the six months after the first dose may confer early protective immunity and reduce the HBV vulnerability of drug users who continue, or have recently initiated, increased high risk drug use and sexual behaviors.^

THE RELATIONSHIP BETWEEN DEGREE OF BLOOD PRESSURE REDUCTION AND MORTALITY AMONG HYPERTENSIVES IN THE HYPERTENSION DETECTION AND FOLLOW-UP PROGRAM

The relationship between degree of diastolic blood pressure (DBP) reduction and mortality was examined among hypertensives, ages 30-69, in the Hypertension Detection and Follow-up Program (HDFP). The HDFP was a multi-center community-based trial, which followed 10,940 hypertensive participants for five years. One-year survival was required for inclusion in this investigation since the one-year annual visit was the first occasion where change in blood pressure could be measured on all participants. During the subsequent four years of follow-up on 10,052 participants, 568 deaths occurred. For levels of change in DBP and for categories of variables related to mortality, the crude mortality rate was calculated. Time-dependent life tables were also calculated so as to utilize available blood pressure data over time. In addition, the Cox life table regression model, extended to take into account both time-constant and time-dependent covariates, was used to examine the relationship change in blood pressure over time and mortality.^ The results of the time-dependent life table and time-dependent Cox life table regression analyses supported the existence of a quadratic function which modeled the relationship between DBP reduction and mortality, even after adjusting for other risk factors. The minimum mortality hazard ratio, based on a particular model, occurred at a DBP reduction of 22.6 mm Hg (standard error = 10.6) in the whole population and 8.5 mm Hg (standard error = 4.6) in the baseline DBP stratum 90-104. After this reduction, there was a small increase in the risk of death. There was not evidence of the quadratic function after fitting the same model using systolic blood pressure. Methodologic issues involved in studying a particular degree of blood pressure reduction were considered. The confidence interval around the change corresponding to the minimum hazard ratio was wide and the obtained blood pressure level should not be interpreted as a goal for treatment. Blood pressure reduction was attributed, not only to pharmacologic therapy, but also to regression to the mean, and to other unknown factors unrelated to treatment. Therefore, the surprising results of this study do not provide direct implications for treatment, but strongly suggest replication in other populations. ^