Evaluation of Two New Smoothing Methods in Equating: The Cubic B-Spline Presmoothing Method and the Direct Presmoothing Method
This article considers two new smoothing methods in equipercentile equating, the cubic B-spline presmoothing method and the direct presmoothing method. Using a simulation study, these two methods are compared with established methods, the beta-4 method, the polynomial loglinear method, and the cubic...
Gespeichert in:
| Veröffentlicht in: | Journal of educational measurement 2009-06, Vol.46 (2), p.135-158 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 158 |
|---|---|
| container_issue | 2 |
| container_start_page | 135 |
| container_title | Journal of educational measurement |
| container_volume | 46 |
| creator | Cui, Zhongmin Kolen, Michael J. |
| description | This article considers two new smoothing methods in equipercentile equating, the cubic B-spline presmoothing method and the direct presmoothing method. Using a simulation study, these two methods are compared with established methods, the beta-4 method, the polynomial loglinear method, and the cubic spline postsmoothing method, under three sample sizes (300, 1,000, and 3,000) and for three test content areas (ITBS Maps and Diagrams, ITBS Reference and Materials, and ITBS Capitalization). Ten thousand random samples were simulated from population distributions, and the standard error, bias, and RMSE statistics were calculated. The cubic B-spline presmoothing method performed well in reducing total error of equating, whereas the direct presmoothing method appeared to need some modification for it to be as accurate as other smoothing methods. |
| doi_str_mv | 10.1111/j.1745-3984.2009.00074.x |
| format | Article |
| fullrecord | <record><control><sourceid>jstor_proqu</sourceid><recordid>TN_cdi_proquest_miscellaneous_57300479</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ericid>EJ842456</ericid><jstor_id>25651503</jstor_id><sourcerecordid>25651503</sourcerecordid><originalsourceid>FETCH-LOGICAL-c4524-fc0c1a30140a3d67557e91433f8eb558a2039fb08770b070434cb188ccfdce3b3</originalsourceid><addsrcrecordid>eNqNkcFu1DAQhi0EEkvhDUCyOHBLOo7tOEHiANvQUrVLqy4CcbEcr9N1yMZbO2G3F56dhKA9VBzwZSz93zcazSCECcRkeMd1TATjEc0zFicAeQwAgsX7R2h2CB6jGUCSRJBy_hQ9C6EGIFxwMkO_ip-q6VVnXYtdhZc7hxdmh282znVr297iS9Ot3Spg2-LibgTb27d4uTZ43pdW4w_RzbaxrcFX3oQHElbtCncDemK90d2_kOfoSaWaYF78rUfoy8diOT-LLj6ffpq_v4g04wmLKg2aKAqEgaKrVHAuTE4YpVVmSs4zlQDNqxIyIaAEAYwyXZIs07paaUNLeoTeTH233t31JnRyY4M2TaNa4_oguaAATOQD-PoBWLvet8NskuSCQS4IHaBsgrR3IXhTya23G-XvJQE5XkXWcly-HJcvx6vIP1eR-0F9OanGW33QivOMJYynQ_xuine2Mff_3VaeFyeXw2_wX01-HTrnD37CU044jJNHU25DZ_aHXPkfMhVUcPl1cSq_fb-6TpbXC5nT34MAtO8</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>197409713</pqid></control><display><type>article</type><title>Evaluation of Two New Smoothing Methods in Equating: The Cubic B-Spline Presmoothing Method and the Direct Presmoothing Method</title><source>Wiley Online Library Journals Frontfile Complete</source><source>Applied Social Sciences Index & Abstracts (ASSIA)</source><source>Jstor Complete Legacy</source><source>Education Source</source><creator>Cui, Zhongmin ; Kolen, Michael J.</creator><creatorcontrib>Cui, Zhongmin ; Kolen, Michael J.</creatorcontrib><description>This article considers two new smoothing methods in equipercentile equating, the cubic B-spline presmoothing method and the direct presmoothing method. Using a simulation study, these two methods are compared with established methods, the beta-4 method, the polynomial loglinear method, and the cubic spline postsmoothing method, under three sample sizes (300, 1,000, and 3,000) and for three test content areas (ITBS Maps and Diagrams, ITBS Reference and Materials, and ITBS Capitalization). Ten thousand random samples were simulated from population distributions, and the standard error, bias, and RMSE statistics were calculated. The cubic B-spline presmoothing method performed well in reducing total error of equating, whereas the direct presmoothing method appeared to need some modification for it to be as accurate as other smoothing methods.</description><identifier>ISSN: 0022-0655</identifier><identifier>EISSN: 1745-3984</identifier><identifier>DOI: 10.1111/j.1745-3984.2009.00074.x</identifier><identifier>CODEN: JEDMAA</identifier><language>eng</language><publisher>Malden, USA: Blackwell Publishing Inc</publisher><subject>Cumulative distribution functions ; Data smoothing ; Diagrams ; Education ; Educational evaluation ; Equated Scores ; Equipercentile Equating ; Estimation methods ; Information resources ; Iowa Tests of Basic Skills ; Mathematical functions ; Measurement ; Methods ; Polynomials ; Population distribution ; Population distributions ; Sample Size ; Simulation ; Standard error ; Statistics ; Test Content</subject><ispartof>Journal of educational measurement, 2009-06, Vol.46 (2), p.135-158</ispartof><rights>2009 The National Council on Measurement in Education</rights><rights>2009 by the National Council on Measurement in Education</rights><rights>Copyright National Council on Measurement in Education Summer 2009</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c4524-fc0c1a30140a3d67557e91433f8eb558a2039fb08770b070434cb188ccfdce3b3</citedby><cites>FETCH-LOGICAL-c4524-fc0c1a30140a3d67557e91433f8eb558a2039fb08770b070434cb188ccfdce3b3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/25651503$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/25651503$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>314,776,780,799,1411,27903,27904,30978,30979,45553,45554,57996,58229</link.rule.ids><backlink>$$Uhttp://eric.ed.gov/ERICWebPortal/detail?accno=EJ842456$$DView record in ERIC$$Hfree_for_read</backlink></links><search><creatorcontrib>Cui, Zhongmin</creatorcontrib><creatorcontrib>Kolen, Michael J.</creatorcontrib><title>Evaluation of Two New Smoothing Methods in Equating: The Cubic B-Spline Presmoothing Method and the Direct Presmoothing Method</title><title>Journal of educational measurement</title><description>This article considers two new smoothing methods in equipercentile equating, the cubic B-spline presmoothing method and the direct presmoothing method. Using a simulation study, these two methods are compared with established methods, the beta-4 method, the polynomial loglinear method, and the cubic spline postsmoothing method, under three sample sizes (300, 1,000, and 3,000) and for three test content areas (ITBS Maps and Diagrams, ITBS Reference and Materials, and ITBS Capitalization). Ten thousand random samples were simulated from population distributions, and the standard error, bias, and RMSE statistics were calculated. The cubic B-spline presmoothing method performed well in reducing total error of equating, whereas the direct presmoothing method appeared to need some modification for it to be as accurate as other smoothing methods.</description><subject>Cumulative distribution functions</subject><subject>Data smoothing</subject><subject>Diagrams</subject><subject>Education</subject><subject>Educational evaluation</subject><subject>Equated Scores</subject><subject>Equipercentile Equating</subject><subject>Estimation methods</subject><subject>Information resources</subject><subject>Iowa Tests of Basic Skills</subject><subject>Mathematical functions</subject><subject>Measurement</subject><subject>Methods</subject><subject>Polynomials</subject><subject>Population distribution</subject><subject>Population distributions</subject><subject>Sample Size</subject><subject>Simulation</subject><subject>Standard error</subject><subject>Statistics</subject><subject>Test Content</subject><issn>0022-0655</issn><issn>1745-3984</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>7QJ</sourceid><recordid>eNqNkcFu1DAQhi0EEkvhDUCyOHBLOo7tOEHiANvQUrVLqy4CcbEcr9N1yMZbO2G3F56dhKA9VBzwZSz93zcazSCECcRkeMd1TATjEc0zFicAeQwAgsX7R2h2CB6jGUCSRJBy_hQ9C6EGIFxwMkO_ip-q6VVnXYtdhZc7hxdmh282znVr297iS9Ot3Spg2-LibgTb27d4uTZ43pdW4w_RzbaxrcFX3oQHElbtCncDemK90d2_kOfoSaWaYF78rUfoy8diOT-LLj6ffpq_v4g04wmLKg2aKAqEgaKrVHAuTE4YpVVmSs4zlQDNqxIyIaAEAYwyXZIs07paaUNLeoTeTH233t31JnRyY4M2TaNa4_oguaAATOQD-PoBWLvet8NskuSCQS4IHaBsgrR3IXhTya23G-XvJQE5XkXWcly-HJcvx6vIP1eR-0F9OanGW33QivOMJYynQ_xuine2Mff_3VaeFyeXw2_wX01-HTrnD37CU044jJNHU25DZ_aHXPkfMhVUcPl1cSq_fb-6TpbXC5nT34MAtO8</recordid><startdate>20090601</startdate><enddate>20090601</enddate><creator>Cui, Zhongmin</creator><creator>Kolen, Michael J.</creator><general>Blackwell Publishing Inc</general><general>Wiley Subscription Services</general><general>Blackwell Publishing</general><general>Wiley Subscription Services, Inc</general><scope>BSCLL</scope><scope>7SW</scope><scope>BJH</scope><scope>BNH</scope><scope>BNI</scope><scope>BNJ</scope><scope>BNO</scope><scope>ERI</scope><scope>PET</scope><scope>REK</scope><scope>WWN</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7QJ</scope></search><sort><creationdate>20090601</creationdate><title>Evaluation of Two New Smoothing Methods in Equating: The Cubic B-Spline Presmoothing Method and the Direct Presmoothing Method</title><author>Cui, Zhongmin ; Kolen, Michael J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c4524-fc0c1a30140a3d67557e91433f8eb558a2039fb08770b070434cb188ccfdce3b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Cumulative distribution functions</topic><topic>Data smoothing</topic><topic>Diagrams</topic><topic>Education</topic><topic>Educational evaluation</topic><topic>Equated Scores</topic><topic>Equipercentile Equating</topic><topic>Estimation methods</topic><topic>Information resources</topic><topic>Iowa Tests of Basic Skills</topic><topic>Mathematical functions</topic><topic>Measurement</topic><topic>Methods</topic><topic>Polynomials</topic><topic>Population distribution</topic><topic>Population distributions</topic><topic>Sample Size</topic><topic>Simulation</topic><topic>Standard error</topic><topic>Statistics</topic><topic>Test Content</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Cui, Zhongmin</creatorcontrib><creatorcontrib>Kolen, Michael J.</creatorcontrib><collection>Istex</collection><collection>ERIC</collection><collection>ERIC (Ovid)</collection><collection>ERIC</collection><collection>ERIC</collection><collection>ERIC (Legacy Platform)</collection><collection>ERIC( SilverPlatter )</collection><collection>ERIC</collection><collection>ERIC PlusText (Legacy Platform)</collection><collection>Education Resources Information Center (ERIC)</collection><collection>ERIC</collection><collection>CrossRef</collection><collection>Applied Social Sciences Index & Abstracts (ASSIA)</collection><jtitle>Journal of educational measurement</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Cui, Zhongmin</au><au>Kolen, Michael J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><ericid>EJ842456</ericid><atitle>Evaluation of Two New Smoothing Methods in Equating: The Cubic B-Spline Presmoothing Method and the Direct Presmoothing Method</atitle><jtitle>Journal of educational measurement</jtitle><date>2009-06-01</date><risdate>2009</risdate><volume>46</volume><issue>2</issue><spage>135</spage><epage>158</epage><pages>135-158</pages><issn>0022-0655</issn><eissn>1745-3984</eissn><coden>JEDMAA</coden><abstract>This article considers two new smoothing methods in equipercentile equating, the cubic B-spline presmoothing method and the direct presmoothing method. Using a simulation study, these two methods are compared with established methods, the beta-4 method, the polynomial loglinear method, and the cubic spline postsmoothing method, under three sample sizes (300, 1,000, and 3,000) and for three test content areas (ITBS Maps and Diagrams, ITBS Reference and Materials, and ITBS Capitalization). Ten thousand random samples were simulated from population distributions, and the standard error, bias, and RMSE statistics were calculated. The cubic B-spline presmoothing method performed well in reducing total error of equating, whereas the direct presmoothing method appeared to need some modification for it to be as accurate as other smoothing methods.</abstract><cop>Malden, USA</cop><pub>Blackwell Publishing Inc</pub><doi>10.1111/j.1745-3984.2009.00074.x</doi><tpages>24</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0022-0655 |
| ispartof | Journal of educational measurement, 2009-06, Vol.46 (2), p.135-158 |
| issn | 0022-0655 1745-3984 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_57300479 |
| source | Wiley Online Library Journals Frontfile Complete; Applied Social Sciences Index & Abstracts (ASSIA); Jstor Complete Legacy; Education Source |
| subjects | Cumulative distribution functions Data smoothing Diagrams Education Educational evaluation Equated Scores Equipercentile Equating Estimation methods Information resources Iowa Tests of Basic Skills Mathematical functions Measurement Methods Polynomials Population distribution Population distributions Sample Size Simulation Standard error Statistics Test Content |
| title | Evaluation of Two New Smoothing Methods in Equating: The Cubic B-Spline Presmoothing Method and the Direct Presmoothing Method |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-22T10%3A34%3A00IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-jstor_proqu&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Evaluation%20of%20Two%20New%20Smoothing%20Methods%20in%20Equating:%20The%20Cubic%20B-Spline%20Presmoothing%20Method%20and%20the%20Direct%20Presmoothing%20Method&rft.jtitle=Journal%20of%20educational%20measurement&rft.au=Cui,%20Zhongmin&rft.date=2009-06-01&rft.volume=46&rft.issue=2&rft.spage=135&rft.epage=158&rft.pages=135-158&rft.issn=0022-0655&rft.eissn=1745-3984&rft.coden=JEDMAA&rft_id=info:doi/10.1111/j.1745-3984.2009.00074.x&rft_dat=%3Cjstor_proqu%3E25651503%3C/jstor_proqu%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=197409713&rft_id=info:pmid/&rft_ericid=EJ842456&rft_jstor_id=25651503&rfr_iscdi=true |