Alexander Shapiro
Biographic Data
| ID | 8084111 |
|---|---|
| NAME | Alexander Shapiro |
| GIVEN NAMES | Alexander |
| FAMILY NAME | Shapiro |
| SIGNATURE | SHAPIRO A |
| AFFILIATIONS | Georgia Institute of Technology |
| ORCID | 0000-0002-6624-2091 |
| VERIFIED | Yes |
| TOTAL WORKS | 3 |
| TOTAL CITATIONS | 0 |
| WORKS AS AUTHOR | 3 |
| WORKS AS EDITOR | 0 |
| FIRST PUBLICATION YEAR | 1985 |
| LATEST PUBLICATION YEAR | 2009 |
| H-INDEX | 0 |
Normal Versus Noncentral Chi-square Asymptotics of Misspecified Models
The noncentral chi-square approximation of the distribution of the likelihood ratio (LR) test statistic is a critical part of the methodology in structural equation modeling. Recently, it was argued by some authors that in certain situations normal distributions may give a better approximation of the distribution of the LR test statistic. The main goal of this article is to evaluate the validity of employing these distributions in practice. Monte…
Uniform Indices-of-Fit for Factor Analysis Models
On the Multivariate Asymptotic Distribution of Sequential Chi-Square Statistics
The multivariate asymptotic distribution of sequential Chi-square test statistics is investigated. It is shown that: (a) when sequential Chi-square statistics are calculated for nested models on the same data, the statistics have an asymptotic intercorrelation which may be expressed in closed form, and which is, in many cases, quite high; and (b) sequential Chi-square difference tests are asymptotically independent. Some Monte Carlo evidence on t…
No prominent works on this page.
On the Multivariate Asymptotic Distribution of Sequential Chi-Square Statistics
The multivariate asymptotic distribution of sequential Chi-square test statistics is investigated. It is shown that: (a) when sequential Chi-square statistics are calculated for nested models on the same data, the statistics have an asymptotic intercorrelation which may be expressed in closed form, and which is, in many cases, quite high; and (b) sequential Chi-square difference tests are asymptotically independent. Some Monte Carlo evidence on t…
Uniform Indices-of-Fit for Factor Analysis Models
Normal Versus Noncentral Chi-square Asymptotics of Misspecified Models
The noncentral chi-square approximation of the distribution of the likelihood ratio (LR) test statistic is a critical part of the methodology in structural equation modeling. Recently, it was argued by some authors that in certain situations normal distributions may give a better approximation of the distribution of the LR test statistic. The main goal of this article is to evaluate the validity of employing these distributions in practice. Monte…
Mathematics (3 works) · Statistics (3 works) · Chi-square test (2 works) · Monte Carlo method (2 works) · Statistical hypothesis testing (2 works) · Advanced Statistical Methods and Models (1 work) · Advanced Statistical Modeling Techniques (1 work) · Applied Mathematics (1 work) · Asymptotic analysis (1 work) · Asymptotic distribution (1 work)