Analysis of Duplicated Multiple-Samples Rank Data Using the Mack-Skillings Test
Appropriate analysis for duplicated multiple‐samples rank data is needed. This study compared analysis of duplicated rank preference data using the Friedman versus Mack–Skillings tests. Panelists (n = 125) ranked twice 2 orange juice sets: different‐samples set (100%, 70%, vs. 40% juice) and similar...
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Veröffentlicht in: | Journal of food science 2016-07, Vol.81 (7), p.S1791-S1799 |
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description | Appropriate analysis for duplicated multiple‐samples rank data is needed. This study compared analysis of duplicated rank preference data using the Friedman versus Mack–Skillings tests. Panelists (n = 125) ranked twice 2 orange juice sets: different‐samples set (100%, 70%, vs. 40% juice) and similar‐samples set (100%, 95%, vs. 90%). These 2 sample sets were designed to get contrasting differences in preference. For each sample set, rank sum data were obtained from (1) averaged rank data of each panelist from the 2 replications (n = 125), (2) rank data of all panelists from each of the 2 separate replications (n = 125 each), (3) jointed rank data of all panelists from the 2 replications (n = 125), and (4) rank data of all panelists pooled from the 2 replications (n = 250); rank data (1), (2), and (4) were separately analyzed by the Friedman test, although those from (3) by the Mack–Skillings test. The effect of sample sizes (n = 10 to 125) was evaluated. For the similar‐samples set, higher variations in rank data from the 2 replications were observed; therefore, results of the main effects were more inconsistent among methods and sample sizes. Regardless of analysis methods, the larger the sample size, the higher the χ2 value, the lower the P‐value (testing H0: all samples are not different). Analyzing rank data (2) separately by replication yielded inconsistent conclusions across sample sizes, hence this method is not recommended. The Mack–Skillings test was more sensitive than the Friedman test. Furthermore, it takes into account within‐panelist variations and is more appropriate for analyzing duplicated rank data.
Practical Application
Analyses of duplicated rank preference data using the Friedman versus Mack–Skillings tests were compared. Panelists ranked twice 2 orange juice sets: different‐samples set (100%, 70%, vs. 40% juice) and similar‐samples set (100%, 95%, vs. 90%). For the similar‐samples set, higher variations in rank data from the 2 replications were observed; therefore, results of the main effects were more inconsistent among methods and sample sizes (n = 10 to 125). Analyzing rank data separately by replication yielded inconsistent conclusions across sample sizes, hence it is not recommended. The Mack–Skillings test is more sensitive than the Friedman test, and more appropriate for analyzing duplicated rank data. |
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Practical Application
Analyses of duplicated rank preference data using the Friedman versus Mack–Skillings tests were compared. Panelists ranked twice 2 orange juice sets: different‐samples set (100%, 70%, vs. 40% juice) and similar‐samples set (100%, 95%, vs. 90%). For the similar‐samples set, higher variations in rank data from the 2 replications were observed; therefore, results of the main effects were more inconsistent among methods and sample sizes (n = 10 to 125). Analyzing rank data separately by replication yielded inconsistent conclusions across sample sizes, hence it is not recommended. The Mack–Skillings test is more sensitive than the Friedman test, and more appropriate for analyzing duplicated rank data.</description><identifier>ISSN: 0022-1147</identifier><identifier>EISSN: 1750-3841</identifier><identifier>DOI: 10.1111/1750-3841.13349</identifier><identifier>PMID: 27240170</identifier><identifier>CODEN: JFDSAZ</identifier><language>eng</language><publisher>United States: Blackwell Publishing Ltd</publisher><subject>Citrus ; Food Analysis - methods ; Food processing ; Friedman test ; Fruit and Vegetable Juices - analysis ; Fruit juices ; Humans ; Juices ; Mack-Skillings test ; Methods ; Oranges ; preference ; ranking ; Replication ; replications ; Reproduction</subject><ispartof>Journal of food science, 2016-07, Vol.81 (7), p.S1791-S1799</ispartof><rights>2016 Institute of Food Technologists</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c6169-c856b583a23e51b6e9899ce256c9d18096667a5312f46bfea3e884ee914361ce3</citedby><cites>FETCH-LOGICAL-c6169-c856b583a23e51b6e9899ce256c9d18096667a5312f46bfea3e884ee914361ce3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1111%2F1750-3841.13349$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1111%2F1750-3841.13349$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,780,784,1417,27924,27925,45574,45575</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/27240170$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Carabante, Kennet Mariano</creatorcontrib><creatorcontrib>Alonso-Marenco, Jose Ramon</creatorcontrib><creatorcontrib>Chokumnoyporn, Napapan</creatorcontrib><creatorcontrib>Sriwattana, Sujinda</creatorcontrib><creatorcontrib>Prinyawiwatkul, Witoon</creatorcontrib><title>Analysis of Duplicated Multiple-Samples Rank Data Using the Mack-Skillings Test</title><title>Journal of food science</title><addtitle>Journal of Food Science</addtitle><description>Appropriate analysis for duplicated multiple‐samples rank data is needed. This study compared analysis of duplicated rank preference data using the Friedman versus Mack–Skillings tests. Panelists (n = 125) ranked twice 2 orange juice sets: different‐samples set (100%, 70%, vs. 40% juice) and similar‐samples set (100%, 95%, vs. 90%). These 2 sample sets were designed to get contrasting differences in preference. For each sample set, rank sum data were obtained from (1) averaged rank data of each panelist from the 2 replications (n = 125), (2) rank data of all panelists from each of the 2 separate replications (n = 125 each), (3) jointed rank data of all panelists from the 2 replications (n = 125), and (4) rank data of all panelists pooled from the 2 replications (n = 250); rank data (1), (2), and (4) were separately analyzed by the Friedman test, although those from (3) by the Mack–Skillings test. The effect of sample sizes (n = 10 to 125) was evaluated. For the similar‐samples set, higher variations in rank data from the 2 replications were observed; therefore, results of the main effects were more inconsistent among methods and sample sizes. Regardless of analysis methods, the larger the sample size, the higher the χ2 value, the lower the P‐value (testing H0: all samples are not different). Analyzing rank data (2) separately by replication yielded inconsistent conclusions across sample sizes, hence this method is not recommended. The Mack–Skillings test was more sensitive than the Friedman test. Furthermore, it takes into account within‐panelist variations and is more appropriate for analyzing duplicated rank data.
Practical Application
Analyses of duplicated rank preference data using the Friedman versus Mack–Skillings tests were compared. Panelists ranked twice 2 orange juice sets: different‐samples set (100%, 70%, vs. 40% juice) and similar‐samples set (100%, 95%, vs. 90%). For the similar‐samples set, higher variations in rank data from the 2 replications were observed; therefore, results of the main effects were more inconsistent among methods and sample sizes (n = 10 to 125). Analyzing rank data separately by replication yielded inconsistent conclusions across sample sizes, hence it is not recommended. The Mack–Skillings test is more sensitive than the Friedman test, and more appropriate for analyzing duplicated rank data.</description><subject>Citrus</subject><subject>Food Analysis - methods</subject><subject>Food processing</subject><subject>Friedman test</subject><subject>Fruit and Vegetable Juices - analysis</subject><subject>Fruit juices</subject><subject>Humans</subject><subject>Juices</subject><subject>Mack-Skillings test</subject><subject>Methods</subject><subject>Oranges</subject><subject>preference</subject><subject>ranking</subject><subject>Replication</subject><subject>replications</subject><subject>Reproduction</subject><issn>0022-1147</issn><issn>1750-3841</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNqNks1PGzEQxa2qVUlpz71VlnrpZcHj7z0iUr4KRWpAlXqxHGe2NXGyYb2rkv-eXQI5cAFfRh793htp3hDyGdge9G8fjGKFsBL2QAhZviGjbectGTHGeQEgzQ75kPMNG_5Cvyc73HDJwLARuTxY-rTOMdO6ouNulWLwLc7oRZfauEpYTPyiL5n-8ss5HfvW0-scl39p-w_phQ_zYjKPKfWdTK8wtx_Ju8qnjJ8e6y65Pvp-dXhSnF8enx4enBdBgy6LYJWeKis8F6hgqrG0ZRmQKx3KGVhWaq2NVwJ4JfW0Qi_QWolYghQaAopd8m3ju2rq264f7BYxB0zJL7HusgPLlZKGWfEKlFnDLbfmNSg3wgoDPfr1GXpTd02_zAcKrAYhh9n7Gyo0dc4NVm7VxIVv1g6YGxJ0Q15uyMs9JNgrvjz6dtMFzrb8U2Q9oDfA_5hw_ZKfOzsaT56ci40w5hbvtkLfzJ02wij3--ex-9EfyJnmfxwT9-XbsG8</recordid><startdate>201607</startdate><enddate>201607</enddate><creator>Carabante, Kennet Mariano</creator><creator>Alonso-Marenco, Jose Ramon</creator><creator>Chokumnoyporn, Napapan</creator><creator>Sriwattana, Sujinda</creator><creator>Prinyawiwatkul, Witoon</creator><general>Blackwell Publishing Ltd</general><general>Wiley Subscription Services, Inc</general><scope>BSCLL</scope><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7QO</scope><scope>7QR</scope><scope>7ST</scope><scope>7T7</scope><scope>7U7</scope><scope>8FD</scope><scope>C1K</scope><scope>F28</scope><scope>FR3</scope><scope>P64</scope><scope>RC3</scope><scope>SOI</scope><scope>7X8</scope></search><sort><creationdate>201607</creationdate><title>Analysis of Duplicated Multiple-Samples Rank Data Using the Mack-Skillings Test</title><author>Carabante, Kennet Mariano ; Alonso-Marenco, Jose Ramon ; Chokumnoyporn, Napapan ; Sriwattana, Sujinda ; Prinyawiwatkul, Witoon</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c6169-c856b583a23e51b6e9899ce256c9d18096667a5312f46bfea3e884ee914361ce3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Citrus</topic><topic>Food Analysis - methods</topic><topic>Food processing</topic><topic>Friedman test</topic><topic>Fruit and Vegetable Juices - analysis</topic><topic>Fruit juices</topic><topic>Humans</topic><topic>Juices</topic><topic>Mack-Skillings test</topic><topic>Methods</topic><topic>Oranges</topic><topic>preference</topic><topic>ranking</topic><topic>Replication</topic><topic>replications</topic><topic>Reproduction</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Carabante, Kennet Mariano</creatorcontrib><creatorcontrib>Alonso-Marenco, Jose Ramon</creatorcontrib><creatorcontrib>Chokumnoyporn, Napapan</creatorcontrib><creatorcontrib>Sriwattana, Sujinda</creatorcontrib><creatorcontrib>Prinyawiwatkul, Witoon</creatorcontrib><collection>Istex</collection><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>Biotechnology Research Abstracts</collection><collection>Chemoreception Abstracts</collection><collection>Environment Abstracts</collection><collection>Industrial and Applied Microbiology Abstracts (Microbiology A)</collection><collection>Toxicology Abstracts</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><collection>Biotechnology and BioEngineering Abstracts</collection><collection>Genetics Abstracts</collection><collection>Environment Abstracts</collection><collection>MEDLINE - Academic</collection><jtitle>Journal of food science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Carabante, Kennet Mariano</au><au>Alonso-Marenco, Jose Ramon</au><au>Chokumnoyporn, Napapan</au><au>Sriwattana, Sujinda</au><au>Prinyawiwatkul, Witoon</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analysis of Duplicated Multiple-Samples Rank Data Using the Mack-Skillings Test</atitle><jtitle>Journal of food science</jtitle><addtitle>Journal of Food Science</addtitle><date>2016-07</date><risdate>2016</risdate><volume>81</volume><issue>7</issue><spage>S1791</spage><epage>S1799</epage><pages>S1791-S1799</pages><issn>0022-1147</issn><eissn>1750-3841</eissn><coden>JFDSAZ</coden><abstract>Appropriate analysis for duplicated multiple‐samples rank data is needed. This study compared analysis of duplicated rank preference data using the Friedman versus Mack–Skillings tests. Panelists (n = 125) ranked twice 2 orange juice sets: different‐samples set (100%, 70%, vs. 40% juice) and similar‐samples set (100%, 95%, vs. 90%). These 2 sample sets were designed to get contrasting differences in preference. For each sample set, rank sum data were obtained from (1) averaged rank data of each panelist from the 2 replications (n = 125), (2) rank data of all panelists from each of the 2 separate replications (n = 125 each), (3) jointed rank data of all panelists from the 2 replications (n = 125), and (4) rank data of all panelists pooled from the 2 replications (n = 250); rank data (1), (2), and (4) were separately analyzed by the Friedman test, although those from (3) by the Mack–Skillings test. The effect of sample sizes (n = 10 to 125) was evaluated. For the similar‐samples set, higher variations in rank data from the 2 replications were observed; therefore, results of the main effects were more inconsistent among methods and sample sizes. Regardless of analysis methods, the larger the sample size, the higher the χ2 value, the lower the P‐value (testing H0: all samples are not different). Analyzing rank data (2) separately by replication yielded inconsistent conclusions across sample sizes, hence this method is not recommended. The Mack–Skillings test was more sensitive than the Friedman test. Furthermore, it takes into account within‐panelist variations and is more appropriate for analyzing duplicated rank data.
Practical Application
Analyses of duplicated rank preference data using the Friedman versus Mack–Skillings tests were compared. Panelists ranked twice 2 orange juice sets: different‐samples set (100%, 70%, vs. 40% juice) and similar‐samples set (100%, 95%, vs. 90%). For the similar‐samples set, higher variations in rank data from the 2 replications were observed; therefore, results of the main effects were more inconsistent among methods and sample sizes (n = 10 to 125). Analyzing rank data separately by replication yielded inconsistent conclusions across sample sizes, hence it is not recommended. The Mack–Skillings test is more sensitive than the Friedman test, and more appropriate for analyzing duplicated rank data.</abstract><cop>United States</cop><pub>Blackwell Publishing Ltd</pub><pmid>27240170</pmid><doi>10.1111/1750-3841.13349</doi><tpages>9</tpages></addata></record> |
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subjects | Citrus Food Analysis - methods Food processing Friedman test Fruit and Vegetable Juices - analysis Fruit juices Humans Juices Mack-Skillings test Methods Oranges preference ranking Replication replications Reproduction |
title | Analysis of Duplicated Multiple-Samples Rank Data Using the Mack-Skillings Test |
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