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Filtering by: Creator Douillet, Philippe A. Committee Member Gitelman, Alix

Kenward-Roger approximate F test for fixed effects in mixed linear models

Creator:

Alnosaier, Waseem S.

Abstract:

For data following a balanced mixed Anova model, the standard Anova method typically leads to exact F tests of the usual hypotheses about fixed effects. However, for most unbalanced designs with most hypotheses, the Anova method does not produce exact tests, and approximate methods are needed. One approach to approximate...

Resource Type:

Dissertation

Full Text:

Clifford B. Pereira For data following a balanced mixed Anova model, the standard Anova method
A Statistical Analysis and Interpretation of the HyperLogLog Algorithm

Creator:

Chick, Alexander

Abstract:

The HyperLogLog (HLL) algorithm is used to estimate the cardinality of large sets. This thesis gives a novel analysis of the HyperLogLog algorithm by using techniques from statistics and probability. Initially, closed form bounds for the mean and variance of the max of n independent and identically distributed geometric random...

Resource Type:

Dissertation

Full Text:

degree of Doctor of Philosophy in Mathematics presented on June 4, 2021. Title: A Statistical Analysis
Likelihood analysis of the multivariate ordinal probit model for repeated and spatial ordered categorical responses

Creator:

Li, Yonghai

Abstract:

This dissertation is about the likelihood analysis of ordered categorical responses in a longitudinal/spatial study, meaning regression-like analysis when the response variable is categorical with ordered categories, and is measured repeatedly over time or space on the experimental or sampling units. Particular attention is given to the multivariate ordinal probit...

Resource Type:

Dissertation

Full Text:

likelihood analysis of ordered categorical responses in a longitudinal/spatial study, meaning regression