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The use of correspondence analysis in building loglinear models
Data collected in the biomedical and social sciences by means of questionnaires is in most instances qualitative in nature. Such data, typically set out in the form of (multi-dimensional) contingency tables, is usually subjected to hypothesis testing in order to assess the interrelationships between...
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| Format: | Thesis |
| Language: | English |
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Department of Statistical Sciences
2016
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| _version_ | 1867613502445715456 |
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| access_status_str | Open Access |
| author | Parry, Charles David Heber |
| author2 | Juritz, June |
| author_browse | Juritz, June Parry, Charles David Heber |
| author_facet | Juritz, June Parry, Charles David Heber |
| author_sort | Parry, Charles David Heber |
| collection | Thesis |
| description | Data collected in the biomedical and social sciences by means of questionnaires is in most instances qualitative in nature. Such data, typically set out in the form of (multi-dimensional) contingency tables, is usually subjected to hypothesis testing in order to assess the interrelationships between the questions. Prior to undertaking confirmatory procedures, we argue that exploratory techniques should be used to gain a "feel" for the data. Correspondence Analysis (an exploratory data analysis procedure) and Log-linear Model building (a confirmatory data analysis procedure) are discussed before an investigation is undertaken to ascertain whether they can be used in conjunction. We found that correspondence analysis : (i) detects questions that are "strictly" independent/unrelated, (ii) detects pairwise relationships between questions (2-factor interactions) and thus can be used to suggest a splitting of large data sets into two or more subsets of questions that are independent, each of which can be analysed separately, and (iii) cannot be used to select log-linear models in general because it does not detect higher order interactions. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/21912 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:37:10.256Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| publisher | Department of Statistical Sciences |
| publisherStr | Department of Statistical Sciences |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/21912 The use of correspondence analysis in building loglinear models Parry, Charles David Heber Juritz, June Mathematical Statistics Data collected in the biomedical and social sciences by means of questionnaires is in most instances qualitative in nature. Such data, typically set out in the form of (multi-dimensional) contingency tables, is usually subjected to hypothesis testing in order to assess the interrelationships between the questions. Prior to undertaking confirmatory procedures, we argue that exploratory techniques should be used to gain a "feel" for the data. Correspondence Analysis (an exploratory data analysis procedure) and Log-linear Model building (a confirmatory data analysis procedure) are discussed before an investigation is undertaken to ascertain whether they can be used in conjunction. We found that correspondence analysis : (i) detects questions that are "strictly" independent/unrelated, (ii) detects pairwise relationships between questions (2-factor interactions) and thus can be used to suggest a splitting of large data sets into two or more subsets of questions that are independent, each of which can be analysed separately, and (iii) cannot be used to select log-linear models in general because it does not detect higher order interactions. 2016-09-25T16:47:50Z 2016-09-25T16:47:50Z 1983 Master Thesis Masters MSc http://hdl.handle.net/11427/21912 eng application/pdf Department of Statistical Sciences Faculty of Science University of Cape Town |
| spellingShingle | Mathematical Statistics Parry, Charles David Heber The use of correspondence analysis in building loglinear models |
| thesis_degree_str | Master's |
| title | The use of correspondence analysis in building loglinear models |
| title_full | The use of correspondence analysis in building loglinear models |
| title_fullStr | The use of correspondence analysis in building loglinear models |
| title_full_unstemmed | The use of correspondence analysis in building loglinear models |
| title_short | The use of correspondence analysis in building loglinear models |
| title_sort | use of correspondence analysis in building loglinear models |
| topic | Mathematical Statistics |
| url | http://hdl.handle.net/11427/21912 |
| work_keys_str_mv | AT parrycharlesdavidheber theuseofcorrespondenceanalysisinbuildingloglinearmodels AT parrycharlesdavidheber useofcorrespondenceanalysisinbuildingloglinearmodels |