The Structure of Perfect Optimal Models with a Two-Category Class Variable and Four or Fewer Endpoints

Paul R. Yarnold Optimal Data Analysis, LLC An optimal model has a specific geometric configuration defined by the number of attributes (“independent variables”—schematically illustrated using circles) and endpoints (defined by response on attribute—indicated by rectangles). Branches direct attributes to endpoints via an if/then/else-based decision rule identified by the (ODA/CTA/novometric) algorithm and operationalized vis-à-vis numerical thresholds … Continue reading The Structure of Perfect Optimal Models with a Two-Category Class Variable and Four or Fewer Endpoints

Value-Added by ODA vs. Chi-Square

Paul R. Yarnold Optimal Data Analysis, LLC Beyond identifying the most accurate classification model which exists for the sample, and estimating cross-generalizability vis-à-vis jackknife, hold-out and/or other validity methods, ODA provides the exact one- or two-tailed P-value, the sensitivity and predictive value for each category of the class variable, and the effect strength corrected for … Continue reading Value-Added by ODA vs. Chi-Square

Maximum-Precision Markov Transition Table: Successive Daily Change in Closing Price of a Utility Stock

Paul R. Yarnold Optimal Data Analysis, LLC Research seeking to increase the accuracy of traditional Markov analysis-based models, which assess the outcome (class) variable as a two-category variable, studies the use of over-time weighting schemes. This paper demonstrates how to maximize precision of the class variable by using ODA to weight each individual “observation” (event) … Continue reading Maximum-Precision Markov Transition Table: Successive Daily Change in Closing Price of a Utility Stock

Comparing Exact Discrete 95% CIs for Model vs. Chance ESS to Evaluate Statistical Significance

Paul R. Yarnold Optimal Data Analysis, LLC Satisfaction ratings (1=very dissatisfied; 2=somewhat dissatisfied; 3=neutral; 4=somewhat satisfied; 5=very satisfied) provided by 4,583 hospital patients in three successive cohorts (two consecutive 3-month-long base¬line cohorts and one 3-month-long post-intervention cohort) were compared to evaluate a program which was designed to increase patient-rated satisfaction with in-hospital received care (Table … Continue reading Comparing Exact Discrete 95% CIs for Model vs. Chance ESS to Evaluate Statistical Significance

Optimal Analyses for Cohort Tables

Paul R. Yarnold Optimal Data Analysis, LLC Cross-classification tables may be created for one or more “cohorts”— groups of observations defined by a common event such as the year of one’s birth, graduation, employment, marriage, disease diagnosis or incarceration—and assessed at two or more points in time on one or more variables reflecting the substantive … Continue reading Optimal Analyses for Cohort Tables

Using ODA to Confirm a First Order Markov Steady State Process

Paul R. Yarnold Optimal Data Analysis, LLC Sufficiently iterated over time periods a first order Markovian change process defined by a constant transition matrix yields a steady state. Consecutive transition matrices are compared by Goodman’s chi-square test to assess if a steady state has been achieved. This note demonstrates the analogous use of ODA to … Continue reading Using ODA to Confirm a First Order Markov Steady State Process

Comparative Accuracy of a Diagnostic Index Modeled Using (Optimized) Regression vs. Novometrics

Ariel Linden & Paul R. Yarnold Linden Consulting Group, LLC & Optimal Data Analysis, LLC Diagnostic screening tests are used to predict an individual’s graduated disease status which is measured on an ordered scale assessing disease progression (severity of illness). Maximizing the predictive accuracy of the diagnostic or screening test is paramount to correctly identifying … Continue reading Comparative Accuracy of a Diagnostic Index Modeled Using (Optimized) Regression vs. Novometrics

Identifying Maximum-Accuracy Cut-Points for Diagnostic Indexes via ODA

Ariel Linden & Paul R. Yarnold Linden Consulting Group, LLC & Optimal Data Analysis, LLC Maximizing the discriminatory accuracy of a diagnostic or screening test is paramount to correctly identifying individuals with vs. without the disease or disease marker. In this paper we demonstrate the use of ODA to identify the optimal cut-point which best … Continue reading Identifying Maximum-Accuracy Cut-Points for Diagnostic Indexes via ODA

Reanalysis of the National Supported Work Experiment Using ODA

Ariel Linden & Paul R. Yarnold Linden Consulting Group, LLC & Optimal Data Analysis, LLC Data from the National Supported Work (NSW) randomized experiment have been used frequently over the past 30 years to demonstrate the implementation of various non-experimental methods for drawing causal inferences about treatment effects. In the present study we reanalyze the … Continue reading Reanalysis of the National Supported Work Experiment Using ODA

Using ODA in the Evaluation of Randomized Controlled Trials: Application to Survival Outcomes

Ariel Linden & Paul R. Yarnold Linden Consulting Group, LLC & Optimal Data Analysis, LLC In a recent series of papers, ODA has been applied to observational data to draw causal inferences about treatment effects. Presently, ODA is applied to survival outcomes from a randomized controlled trial, with a reanalysis of a study by Linden … Continue reading Using ODA in the Evaluation of Randomized Controlled Trials: Application to Survival Outcomes

Using ODA in the Evaluation of Randomized Controlled Trials

Ariel Linden & Paul R. Yarnold Linden Consulting Group, LLC & Optimal Data Analysis, LLC In a recent series of papers, ODA has been applied to observational data to draw causal inferences about treatment effects. In this article ODA is applied to data from a randomized controlled trial, with a reanalysis of a study by … Continue reading Using ODA in the Evaluation of Randomized Controlled Trials