{
  "abstract": "We consider hypothesis tests for the multiple linear regression model with ordinary least squares if the predictor variables have been scaled to have unit sample variance. Some tests are unchanged, but confidence intervals, confidence regions, and some tests are no longer valid. Similar results are obtained for a robust regression estimator.",
  "abstract_shown": true,
  "affiliations": [
    "School of Mathematical & Statistical Sciences, Southern Illinois University, Carbondale, IL 62901, USA",
    "School of Business, Black Hills State University, Spearfish, SD 57799, USA"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "David J. Olive"
    },
    {
      "affs": [
        1
      ],
      "name": "Sanjuka Johana Lemonge",
      "orcid": "0009-0004-4503-7365"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cc0xctshqegwc.bib",
  "cited_by": 0,
  "doi": "10.3390/axioms15100738",
  "fulltext_url": null,
  "id": "cc0xctshqegwc",
  "issns": [
    "2075-1680"
  ],
  "landing_url": "https://www.mdpi.com/2075-1680/15/10/738",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2613|Advanced Statistical Methods and Models"
    ]
  ],
  "openalex": "W7216375433",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/cc0xctshqegwc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:30Z",
      "native_id": "10.3390/axioms15100738",
      "source": "crossref",
      "url": "https://www.mdpi.com/2075-1680/15/10/738"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2613|Advanced Statistical Methods and Models",
      "subfield": "statistics"
    }
  ],
  "title": "OLS Testing with Predictors Scaled to Have Unit Sample Variance, and Similar Results for a Robust Regression Estimator",
  "title_text": "OLS Testing with Predictors Scaled to Have Unit Sample Variance, and Similar Results for a Robust Regression Estimator",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:30Z",
  "url": "https://research.draconitic.com/paper/cc0xctshqegwc",
  "venue": "Axioms",
  "versions": []
}