A Test of Missing Completely at Random for Multivariate Data with Missing Values
Bibliographic Data
| ID | 23312725 |
|---|---|
| Authors | Roderick J A Little, Roderick J Little (0000-0001-9878-6977, University of California, Los Angeles, corresponding author) |
| Year | 1988 |
| Volume | 83 |
| Issue | 404 |
| Pages | 1198-1202 |
| Publication date | 1988-12-01 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | Journal of the American Statistical Association (JOURNAL) |
| Journal identifiers | ISSN: 0162-1459 • E-ISSN: 1537-274X |
| Publisher | Informa UK Limited (PUBLISHER • GB) |
| DOI | 10.1080/01621459.1988.10478722 |
| OpenAlex | W2078965693 |
| Language | EN |
| Citations received | 2.299 |
| References cited | 12 |
A common concern when faced with multivariate data with missing values is whether the missing data are missing completely at random (MCAR); that is, whether missingness depends on the variables in the data set. One way of assessing this is to compare the means of recorded values of each variable between groups defined by whether other variables in the data set are missing or not. Although informative, this procedure yields potentially many correlated statistics for testing MCAR, resulting in multiple-comparison problems. This article proposes a single global test statistic for MCAR that uses all of the available data. The asymptotic null distribution is given, and the small-sample null distribution is derived for multivariate normal data with a monotone pattern of missing data. The test reduces to a standard t test when the data are bivariate with missing data confined to a single variable. A limited simulation study of empirical sizes for the test applied to normal and nonnormal data suggests that the test is conservative for small samples.
Bivariate analysis · Data mining · Data set · Missing data · Multivariate normal distribution · Multivariate statistics · Null (SQL) · Null distribution · Statistical hypothesis testing · Statistics · Test statistic · Computer Science · Mathematics · Statistical Methods and Bayesian Inference · Statistical Methods and Inference · Statistical Methods in Clinical Trials
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| Unique citing works | 2.299 |
|---|---|
| Citations per year | 74,16 |
| Citation span | 1995 - 2026 (32) |
| Citation velocity | current |
| Highly cited | Yes |
| Citation types | Neutral: 2.072 |