Graphical Analyses of a Two-Period Crossover Design
Rosenbaum developed the sliding-square plot to display simultaneously a scatterplot of paired data, a boxplot of their differences, and a boxplot of each marginal distribution. We extend the sliding-square plot to include the two-period, two-treatment crossover sum-difference plot, with correspondin...
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Veröffentlicht in: | The American statistician 1994-08, Vol.48 (3), p.249-253 |
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container_title | The American statistician |
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creator | Pontius, Jeffrey S. Schantz, Rhoda M. |
description | Rosenbaum developed the sliding-square plot to display simultaneously a scatterplot of paired data, a boxplot of their differences, and a boxplot of each marginal distribution. We extend the sliding-square plot to include the two-period, two-treatment crossover sum-difference plot, with corresponding boxplots of scaled sums and differences for each sequence. The plot is useful for displaying characteristics of the data together with evaluating carryover effects, treatment effects and the assumptions under which they are tested. |
doi_str_mv | 10.1080/00031305.1994.10476070 |
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We extend the sliding-square plot to include the two-period, two-treatment crossover sum-difference plot, with corresponding boxplots of scaled sums and differences for each sequence. 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We extend the sliding-square plot to include the two-period, two-treatment crossover sum-difference plot, with corresponding boxplots of scaled sums and differences for each sequence. The plot is useful for displaying characteristics of the data together with evaluating carryover effects, treatment effects and the assumptions under which they are tested.</description><subject>Boxplot</subject><subject>Carryover</subject><subject>Clinical trials</subject><subject>Crossovers</subject><subject>Design analysis</subject><subject>Design evaluation</subject><subject>Exact sciences and technology</subject><subject>Exploratory plot</subject><subject>Fences</subject><subject>Graph theory</subject><subject>Graphic design</subject><subject>Graphs</subject><subject>Linear inference, regression</subject><subject>Mathematical models</subject><subject>Mathematics</subject><subject>Outliers</subject><subject>Perpendicular lines</subject><subject>Probability and statistics</subject><subject>Sciences and techniques of general use</subject><subject>Sliding-square plot</subject><subject>Statistical Practice</subject><subject>Statistics</subject><subject>Sum-difference plot</subject><subject>Sweetness</subject><issn>0003-1305</issn><issn>1537-2731</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1994</creationdate><recordtype>article</recordtype><sourceid>K30</sourceid><recordid>eNqFkEFPwjAUgBujiYj-BbOo12FfX9d2R4KKJiR6wHNTtlZHxootSPj3bgHUi_HUtPnel9ePkEugA6CK3lJKEZBmA8hz3j5xKaikR6QHGcqUSYRj0uugtKNOyVmM8_ZKpWA9guNglu9VYepk2Jh6G21MvEtMMt349MWGypfJKPgY_acNyZ2N1VtzTk6cqaO92J998vpwPx09ppPn8dNoOEkLptQqBaZACHSc5xmboZQz4AIlykLNitIy50rKlSsy5ADAXe6U4WXOrC0VSFFin1ztvMvgP9Y2rvTcr0O7ZdSMKZ6DwLyFrv-CAFttlqmct5TYUUX3l2CdXoZqYcJWA9VdRX2oqLuK-lCxHbzZ601sI7lgmqKK39PIWcY5_GDzuPLht5whlZoJxSV2tuEOqxrnw8JsfKhLvTLb2oeDGv_Z6Auu1o2D</recordid><startdate>19940801</startdate><enddate>19940801</enddate><creator>Pontius, Jeffrey S.</creator><creator>Schantz, Rhoda M.</creator><general>Taylor & Francis Group</general><general>American Statistical Association</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>JTYFY</scope><scope>K30</scope><scope>PAAUG</scope><scope>PAWHS</scope><scope>PAWZZ</scope><scope>PAXOH</scope><scope>PBHAV</scope><scope>PBQSW</scope><scope>PBYQZ</scope><scope>PCIWU</scope><scope>PCMID</scope><scope>PCZJX</scope><scope>PDGRG</scope><scope>PDWWI</scope><scope>PETMR</scope><scope>PFVGT</scope><scope>PGXDX</scope><scope>PIHIL</scope><scope>PISVA</scope><scope>PJCTQ</scope><scope>PJTMS</scope><scope>PLCHJ</scope><scope>PMHAD</scope><scope>PNQDJ</scope><scope>POUND</scope><scope>PPLAD</scope><scope>PQAPC</scope><scope>PQCAN</scope><scope>PQCMW</scope><scope>PQEME</scope><scope>PQHKH</scope><scope>PQMID</scope><scope>PQNCT</scope><scope>PQNET</scope><scope>PQSCT</scope><scope>PQSET</scope><scope>PSVJG</scope><scope>PVMQY</scope><scope>PZGFC</scope></search><sort><creationdate>19940801</creationdate><title>Graphical Analyses of a Two-Period Crossover Design</title><author>Pontius, Jeffrey S. ; Schantz, Rhoda M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c288t-1281663f44952b377b1463737c8bcde2ffd048fc5341114f9f8a4d92eed8176d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1994</creationdate><topic>Boxplot</topic><topic>Carryover</topic><topic>Clinical trials</topic><topic>Crossovers</topic><topic>Design analysis</topic><topic>Design evaluation</topic><topic>Exact sciences and technology</topic><topic>Exploratory plot</topic><topic>Fences</topic><topic>Graph theory</topic><topic>Graphic design</topic><topic>Graphs</topic><topic>Linear inference, regression</topic><topic>Mathematical models</topic><topic>Mathematics</topic><topic>Outliers</topic><topic>Perpendicular lines</topic><topic>Probability and statistics</topic><topic>Sciences and techniques of general use</topic><topic>Sliding-square plot</topic><topic>Statistical Practice</topic><topic>Statistics</topic><topic>Sum-difference plot</topic><topic>Sweetness</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pontius, Jeffrey S.</creatorcontrib><creatorcontrib>Schantz, Rhoda M.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Periodicals Index Online Segment 37</collection><collection>Periodicals Index Online</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - West</collection><collection>Primary Sources Access (Plan D) - International</collection><collection>Primary Sources Access & Build (Plan A) - MEA</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Midwest</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Northeast</collection><collection>Primary Sources Access (Plan D) - Southeast</collection><collection>Primary Sources Access (Plan D) - North Central</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Southeast</collection><collection>Primary Sources Access (Plan D) - South Central</collection><collection>Primary Sources Access & Build (Plan A) - UK / I</collection><collection>Primary Sources Access (Plan D) - Canada</collection><collection>Primary Sources Access (Plan D) - EMEALA</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - North Central</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - South Central</collection><collection>Primary Sources Access & Build (Plan A) - International</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - International</collection><collection>Primary Sources Access (Plan D) - West</collection><collection>Periodicals Index Online Segments 1-50</collection><collection>Primary Sources Access (Plan D) - APAC</collection><collection>Primary Sources Access (Plan D) - Midwest</collection><collection>Primary Sources Access (Plan D) - MEA</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Canada</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - UK / I</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - EMEALA</collection><collection>Primary Sources Access & Build (Plan A) - APAC</collection><collection>Primary Sources Access & Build (Plan A) - Canada</collection><collection>Primary Sources Access & Build (Plan A) - West</collection><collection>Primary Sources Access & Build (Plan A) - EMEALA</collection><collection>Primary Sources Access (Plan D) - Northeast</collection><collection>Primary Sources Access & Build (Plan A) - Midwest</collection><collection>Primary Sources Access & Build (Plan A) - North Central</collection><collection>Primary Sources Access & Build (Plan A) - Northeast</collection><collection>Primary Sources Access & Build (Plan A) - South Central</collection><collection>Primary Sources Access & Build (Plan A) - Southeast</collection><collection>Primary Sources Access (Plan D) - UK / I</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - APAC</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - MEA</collection><jtitle>The American statistician</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pontius, Jeffrey S.</au><au>Schantz, Rhoda M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Graphical Analyses of a Two-Period Crossover Design</atitle><jtitle>The American statistician</jtitle><date>1994-08-01</date><risdate>1994</risdate><volume>48</volume><issue>3</issue><spage>249</spage><epage>253</epage><pages>249-253</pages><issn>0003-1305</issn><eissn>1537-2731</eissn><coden>ASTAAJ</coden><abstract>Rosenbaum developed the sliding-square plot to display simultaneously a scatterplot of paired data, a boxplot of their differences, and a boxplot of each marginal distribution. We extend the sliding-square plot to include the two-period, two-treatment crossover sum-difference plot, with corresponding boxplots of scaled sums and differences for each sequence. The plot is useful for displaying characteristics of the data together with evaluating carryover effects, treatment effects and the assumptions under which they are tested.</abstract><cop>Alexandria, VA</cop><pub>Taylor & Francis Group</pub><doi>10.1080/00031305.1994.10476070</doi><tpages>5</tpages></addata></record> |
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subjects | Boxplot Carryover Clinical trials Crossovers Design analysis Design evaluation Exact sciences and technology Exploratory plot Fences Graph theory Graphic design Graphs Linear inference, regression Mathematical models Mathematics Outliers Perpendicular lines Probability and statistics Sciences and techniques of general use Sliding-square plot Statistical Practice Statistics Sum-difference plot Sweetness |
title | Graphical Analyses of a Two-Period Crossover Design |
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