{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T16:35:07Z","timestamp":1769704507269,"version":"3.49.0"},"reference-count":25,"publisher":"SAGE Publications","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2023,10,4]]},"abstract":"<jats:p>The application of classical statistical methods is not feasible given the presence of imprecise, fuzzy, uncertain, or undetermined observations in the underlying dataset. This is due to the existence of uncertainties pervading every aspect of real-life situations, which cannot always be accurately addressed by classical statistical approaches. In order to tackle this problem, a new methodology known as neutrosophic analysis of variance (NANOVA) has been developed as an extension of classical approaches to analyze datasets with uncertainty. The proposed approach can be applied regardless of the number of factors and replications. Moreover, NANOVA introduces a novel matrix-based approach to derive the F_N-test in an uncertain environment. To assess the effectiveness of NANOVA, various real datasets have been employed, and research findings on single- and two-factor NANOVAs with measures of indeterminacy have been presented. According to our comparisons, NANOVA provides a more informative, efficient, flexible, and reliable approach to deal with uncertainties than classical statistical methods. Therefore, there is a need to go beyond conventional statistical techniques and adopt advanced methodologies that can effectively handle uncertainties.<\/jats:p>","DOI":"10.3233\/jifs-223636","type":"journal-article","created":{"date-parts":[[2023,7,25]],"date-time":"2023-07-25T12:24:15Z","timestamp":1690287855000},"page":"6005-6017","source":"Crossref","is-referenced-by-count":2,"title":["A generalized approach to compute neutrosophic k-factor analysis of variance"],"prefix":"10.1177","volume":"45","author":[{"given":"Sami","family":"Ullah","sequence":"first","affiliation":[{"name":"College of Agriculture, University of Sargodha, Sargodha, Pakistan"}]},{"given":"Muhammad","family":"Kashif","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, University of Agriculture Faisalabad, Pakistan"}]},{"given":"Muhammad","family":"Aslam","sequence":"additional","affiliation":[{"name":"Department of Statistics, Faculty of Science, King Abdulaziz University, Saudi Arabia"}]},{"given":"Gulfam","family":"Haider","sequence":"additional","affiliation":[{"name":"Economics, FAST National University of Computer and Emerging Sciences, Chiniot Faisalabad Campus"}]},{"given":"Abdulrahman","family":"AlAita","sequence":"additional","affiliation":[{"name":"Department of Statistics, University of Isfahan, Isfahan, Iran"}]},{"given":"Muhammad","family":"Saleem","sequence":"additional","affiliation":[{"name":"Department of Industrial Engineering, Faculty of Engineering-Rabigh, King Abdulaziz University, Jeddah, Saudi Arabia"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-223636_ref1","first-page":"99","volume-title":"Statistical methods for research workers, 13e","author":"Fisher","year":"1925"},{"key":"10.3233\/JIFS-223636_ref2","volume-title":"The analysis of variance","author":"Scheffe","year":"1999"},{"key":"10.3233\/JIFS-223636_ref3","volume-title":"Design and analysis of experiments","author":"Montgomery","year":"2017"},{"issue":"3","key":"10.3233\/JIFS-223636_ref4","doi-asserted-by":"crossref","first-page":"248","DOI":"10.1046\/j.1475-1313.2002.00020.x","article-title":"The application of analysis of variance (ANOVA) to different experimental designs in optometry","volume":"22","author":"Armstrong","year":"2002","journal-title":"Ophthalmic and Physiological Optics"},{"issue":"1","key":"10.3233\/JIFS-223636_ref5","doi-asserted-by":"crossref","first-page":"114","DOI":"10.1016\/j.chemolab.2010.11.006","article-title":"Application of functional ANOVA to the study of thermal stability of micro\u2013 nano silica epoxy composites","volume":"105","author":"Tarr\u00edo-Saavedra","year":"2011","journal-title":"Chemometrics and Intelligent Laboratory Systems"},{"issue":"2","key":"10.3233\/JIFS-223636_ref6","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1016\/j.powtec.2008.04.036","article-title":"Application of ANOVA to image analysis results of talc particles produced by different milling","volume":"188","author":"Ulusoy","year":"2008","journal-title":"Powder Technology"},{"key":"10.3233\/JIFS-223636_ref7","volume-title":"An introduction to statistical methods and data analysis","author":"Ott","year":"2015"},{"key":"10.3233\/JIFS-223636_ref8","first-page":"396","article-title":"Neutrosophic logic-a generalization of the intuitionistic fuzzy logic","volume":"4","author":"Smarandache","year":"2010","journal-title":"Multispace & Multistructure. 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