Designs Robust against Violation of Normality Assumption in the Standard F-test
In this article, designs are found for which the F-test of analysis of variance is insensitive to violation of normality assumption. Atiqullah (1962) proved that the F-test for treatments adjusting for blocks in the intra-block analysis of a balanced incomplete block design is robust against non-nor...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Biswas, A [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2015 |
|---|
| Rechteinformationen: |
Nutzungsrecht: Copyright © Taylor & Francis Group, LLC 2015 |
|---|
| Schlagwörter: |
|---|
| Übergeordnetes Werk: |
Enthalten in: Communications in statistics / Theory and methods - London : Taylor and Francis, 1982, 44(2015), 14, Seite 2898 |
|---|---|
| Übergeordnetes Werk: |
volume:44 ; year:2015 ; number:14 ; pages:2898 |
| Links: |
|---|
| DOI / URN: |
10.1080/03610926.2013.799697 |
|---|
| Katalog-ID: |
OLC1968779973 |
|---|
| LEADER | 01000caa a2200265 4500 | ||
|---|---|---|---|
| 001 | OLC1968779973 | ||
| 003 | DE-627 | ||
| 005 | 20220221022742.0 | ||
| 007 | tu | ||
| 008 | 160206s2015 xx ||||| 00| ||eng c | ||
| 024 | 7 | |a 10.1080/03610926.2013.799697 |2 doi | |
| 028 | 5 | 2 | |a PQ20160617 |
| 035 | |a (DE-627)OLC1968779973 | ||
| 035 | |a (DE-599)GBVOLC1968779973 | ||
| 035 | |a (PRQ)c2402-1caf742526ef4d80da3f62d0bf15adb913d5851d2e97bd07715ac23eb7e3e32e0 | ||
| 035 | |a (KEY)0108848320150000044001402898designsrobustagainstviolationofnormalityassumption | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 082 | 0 | 4 | |a 510 |q DNB |
| 084 | |a 31.73 |2 bkl | ||
| 100 | 1 | |a Biswas, A |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Designs Robust against Violation of Normality Assumption in the Standard F-test |
| 264 | 1 | |c 2015 | |
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a ohne Hilfsmittel zu benutzen |b n |2 rdamedia | ||
| 338 | |a Band |b nc |2 rdacarrier | ||
| 520 | |a In this article, designs are found for which the F-test of analysis of variance is insensitive to violation of normality assumption. Atiqullah (1962) proved that the F-test for treatments adjusting for blocks in the intra-block analysis of a balanced incomplete block design is robust against non-normality in the observations. Here an attempt has been made to identify other designs robust in this sense. In particular, it is observed that for testing relevant hypothesis, a partially balanced incomplete block design in block design setup, under certain conditions, is robust. Robustness of a balanced treatment incomplete block design and a partially balanced treatment incomplete block design (Biswas, 2012), in treatment-control design setup, is also studied. Moreover, a new measure of robustness is introduced for further study. The performance of the F-test in presence of non-normality in the observations for a quadratically balanced design is also examined. | ||
| 540 | |a Nutzungsrecht: Copyright © Taylor & Francis Group, LLC 2015 | ||
| 650 | 4 | |a BTIBD | |
| 650 | 4 | |a 62K10 | |
| 650 | 4 | |a PBIBD | |
| 650 | 4 | |a PBTIBD | |
| 650 | 4 | |a Quadratically balanced designs | |
| 650 | 4 | |a Robust designs | |
| 700 | 1 | |a Das, P |4 oth | |
| 700 | 1 | |a Mandal, N. K |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |t Communications in statistics / Theory and methods |d London : Taylor and Francis, 1982 |g 44(2015), 14, Seite 2898 |w (DE-627)129862290 |w (DE-600)283673-7 |w (DE-576)015173747 |x 0361-0926 |7 nnns |
| 773 | 1 | 8 | |g volume:44 |g year:2015 |g number:14 |g pages:2898 |
| 856 | 4 | 1 | |u http://dx.doi.org/10.1080/03610926.2013.799697 |3 Volltext |
| 856 | 4 | 2 | |u http://www.tandfonline.com/doi/abs/10.1080/03610926.2013.799697 |
| 856 | 4 | 2 | |u http://search.proquest.com/docview/1702890025 |
| 912 | |a GBV_USEFLAG_A | ||
| 912 | |a SYSFLAG_A | ||
| 912 | |a GBV_OLC | ||
| 912 | |a SSG-OLC-MAT | ||
| 912 | |a SSG-OPC-MAT | ||
| 912 | |a GBV_ILN_70 | ||
| 912 | |a GBV_ILN_100 | ||
| 936 | b | k | |a 31.73 |q AVZ |
| 951 | |a AR | ||
| 952 | |d 44 |j 2015 |e 14 |h 2898 | ||
| author_variant |
a b ab |
|---|---|
| matchkey_str |
article:03610926:2015----::einrbsaantiltoonraiysupin |
| hierarchy_sort_str |
2015 |
| bklnumber |
31.73 |
| publishDate |
2015 |
| allfields |
10.1080/03610926.2013.799697 doi PQ20160617 (DE-627)OLC1968779973 (DE-599)GBVOLC1968779973 (PRQ)c2402-1caf742526ef4d80da3f62d0bf15adb913d5851d2e97bd07715ac23eb7e3e32e0 (KEY)0108848320150000044001402898designsrobustagainstviolationofnormalityassumption DE-627 ger DE-627 rakwb eng 510 DNB 31.73 bkl Biswas, A verfasserin aut Designs Robust against Violation of Normality Assumption in the Standard F-test 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this article, designs are found for which the F-test of analysis of variance is insensitive to violation of normality assumption. Atiqullah (1962) proved that the F-test for treatments adjusting for blocks in the intra-block analysis of a balanced incomplete block design is robust against non-normality in the observations. Here an attempt has been made to identify other designs robust in this sense. In particular, it is observed that for testing relevant hypothesis, a partially balanced incomplete block design in block design setup, under certain conditions, is robust. Robustness of a balanced treatment incomplete block design and a partially balanced treatment incomplete block design (Biswas, 2012), in treatment-control design setup, is also studied. Moreover, a new measure of robustness is introduced for further study. The performance of the F-test in presence of non-normality in the observations for a quadratically balanced design is also examined. Nutzungsrecht: Copyright © Taylor & Francis Group, LLC 2015 BTIBD 62K10 PBIBD PBTIBD Quadratically balanced designs Robust designs Das, P oth Mandal, N. K oth Enthalten in Communications in statistics / Theory and methods London : Taylor and Francis, 1982 44(2015), 14, Seite 2898 (DE-627)129862290 (DE-600)283673-7 (DE-576)015173747 0361-0926 nnns volume:44 year:2015 number:14 pages:2898 http://dx.doi.org/10.1080/03610926.2013.799697 Volltext http://www.tandfonline.com/doi/abs/10.1080/03610926.2013.799697 http://search.proquest.com/docview/1702890025 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_100 31.73 AVZ AR 44 2015 14 2898 |
| spelling |
10.1080/03610926.2013.799697 doi PQ20160617 (DE-627)OLC1968779973 (DE-599)GBVOLC1968779973 (PRQ)c2402-1caf742526ef4d80da3f62d0bf15adb913d5851d2e97bd07715ac23eb7e3e32e0 (KEY)0108848320150000044001402898designsrobustagainstviolationofnormalityassumption DE-627 ger DE-627 rakwb eng 510 DNB 31.73 bkl Biswas, A verfasserin aut Designs Robust against Violation of Normality Assumption in the Standard F-test 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this article, designs are found for which the F-test of analysis of variance is insensitive to violation of normality assumption. Atiqullah (1962) proved that the F-test for treatments adjusting for blocks in the intra-block analysis of a balanced incomplete block design is robust against non-normality in the observations. Here an attempt has been made to identify other designs robust in this sense. In particular, it is observed that for testing relevant hypothesis, a partially balanced incomplete block design in block design setup, under certain conditions, is robust. Robustness of a balanced treatment incomplete block design and a partially balanced treatment incomplete block design (Biswas, 2012), in treatment-control design setup, is also studied. Moreover, a new measure of robustness is introduced for further study. The performance of the F-test in presence of non-normality in the observations for a quadratically balanced design is also examined. Nutzungsrecht: Copyright © Taylor & Francis Group, LLC 2015 BTIBD 62K10 PBIBD PBTIBD Quadratically balanced designs Robust designs Das, P oth Mandal, N. K oth Enthalten in Communications in statistics / Theory and methods London : Taylor and Francis, 1982 44(2015), 14, Seite 2898 (DE-627)129862290 (DE-600)283673-7 (DE-576)015173747 0361-0926 nnns volume:44 year:2015 number:14 pages:2898 http://dx.doi.org/10.1080/03610926.2013.799697 Volltext http://www.tandfonline.com/doi/abs/10.1080/03610926.2013.799697 http://search.proquest.com/docview/1702890025 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_100 31.73 AVZ AR 44 2015 14 2898 |
| allfields_unstemmed |
10.1080/03610926.2013.799697 doi PQ20160617 (DE-627)OLC1968779973 (DE-599)GBVOLC1968779973 (PRQ)c2402-1caf742526ef4d80da3f62d0bf15adb913d5851d2e97bd07715ac23eb7e3e32e0 (KEY)0108848320150000044001402898designsrobustagainstviolationofnormalityassumption DE-627 ger DE-627 rakwb eng 510 DNB 31.73 bkl Biswas, A verfasserin aut Designs Robust against Violation of Normality Assumption in the Standard F-test 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this article, designs are found for which the F-test of analysis of variance is insensitive to violation of normality assumption. Atiqullah (1962) proved that the F-test for treatments adjusting for blocks in the intra-block analysis of a balanced incomplete block design is robust against non-normality in the observations. Here an attempt has been made to identify other designs robust in this sense. In particular, it is observed that for testing relevant hypothesis, a partially balanced incomplete block design in block design setup, under certain conditions, is robust. Robustness of a balanced treatment incomplete block design and a partially balanced treatment incomplete block design (Biswas, 2012), in treatment-control design setup, is also studied. Moreover, a new measure of robustness is introduced for further study. The performance of the F-test in presence of non-normality in the observations for a quadratically balanced design is also examined. Nutzungsrecht: Copyright © Taylor & Francis Group, LLC 2015 BTIBD 62K10 PBIBD PBTIBD Quadratically balanced designs Robust designs Das, P oth Mandal, N. K oth Enthalten in Communications in statistics / Theory and methods London : Taylor and Francis, 1982 44(2015), 14, Seite 2898 (DE-627)129862290 (DE-600)283673-7 (DE-576)015173747 0361-0926 nnns volume:44 year:2015 number:14 pages:2898 http://dx.doi.org/10.1080/03610926.2013.799697 Volltext http://www.tandfonline.com/doi/abs/10.1080/03610926.2013.799697 http://search.proquest.com/docview/1702890025 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_100 31.73 AVZ AR 44 2015 14 2898 |
| allfieldsGer |
10.1080/03610926.2013.799697 doi PQ20160617 (DE-627)OLC1968779973 (DE-599)GBVOLC1968779973 (PRQ)c2402-1caf742526ef4d80da3f62d0bf15adb913d5851d2e97bd07715ac23eb7e3e32e0 (KEY)0108848320150000044001402898designsrobustagainstviolationofnormalityassumption DE-627 ger DE-627 rakwb eng 510 DNB 31.73 bkl Biswas, A verfasserin aut Designs Robust against Violation of Normality Assumption in the Standard F-test 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this article, designs are found for which the F-test of analysis of variance is insensitive to violation of normality assumption. Atiqullah (1962) proved that the F-test for treatments adjusting for blocks in the intra-block analysis of a balanced incomplete block design is robust against non-normality in the observations. Here an attempt has been made to identify other designs robust in this sense. In particular, it is observed that for testing relevant hypothesis, a partially balanced incomplete block design in block design setup, under certain conditions, is robust. Robustness of a balanced treatment incomplete block design and a partially balanced treatment incomplete block design (Biswas, 2012), in treatment-control design setup, is also studied. Moreover, a new measure of robustness is introduced for further study. The performance of the F-test in presence of non-normality in the observations for a quadratically balanced design is also examined. Nutzungsrecht: Copyright © Taylor & Francis Group, LLC 2015 BTIBD 62K10 PBIBD PBTIBD Quadratically balanced designs Robust designs Das, P oth Mandal, N. K oth Enthalten in Communications in statistics / Theory and methods London : Taylor and Francis, 1982 44(2015), 14, Seite 2898 (DE-627)129862290 (DE-600)283673-7 (DE-576)015173747 0361-0926 nnns volume:44 year:2015 number:14 pages:2898 http://dx.doi.org/10.1080/03610926.2013.799697 Volltext http://www.tandfonline.com/doi/abs/10.1080/03610926.2013.799697 http://search.proquest.com/docview/1702890025 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_100 31.73 AVZ AR 44 2015 14 2898 |
| allfieldsSound |
10.1080/03610926.2013.799697 doi PQ20160617 (DE-627)OLC1968779973 (DE-599)GBVOLC1968779973 (PRQ)c2402-1caf742526ef4d80da3f62d0bf15adb913d5851d2e97bd07715ac23eb7e3e32e0 (KEY)0108848320150000044001402898designsrobustagainstviolationofnormalityassumption DE-627 ger DE-627 rakwb eng 510 DNB 31.73 bkl Biswas, A verfasserin aut Designs Robust against Violation of Normality Assumption in the Standard F-test 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this article, designs are found for which the F-test of analysis of variance is insensitive to violation of normality assumption. Atiqullah (1962) proved that the F-test for treatments adjusting for blocks in the intra-block analysis of a balanced incomplete block design is robust against non-normality in the observations. Here an attempt has been made to identify other designs robust in this sense. In particular, it is observed that for testing relevant hypothesis, a partially balanced incomplete block design in block design setup, under certain conditions, is robust. Robustness of a balanced treatment incomplete block design and a partially balanced treatment incomplete block design (Biswas, 2012), in treatment-control design setup, is also studied. Moreover, a new measure of robustness is introduced for further study. The performance of the F-test in presence of non-normality in the observations for a quadratically balanced design is also examined. Nutzungsrecht: Copyright © Taylor & Francis Group, LLC 2015 BTIBD 62K10 PBIBD PBTIBD Quadratically balanced designs Robust designs Das, P oth Mandal, N. K oth Enthalten in Communications in statistics / Theory and methods London : Taylor and Francis, 1982 44(2015), 14, Seite 2898 (DE-627)129862290 (DE-600)283673-7 (DE-576)015173747 0361-0926 nnns volume:44 year:2015 number:14 pages:2898 http://dx.doi.org/10.1080/03610926.2013.799697 Volltext http://www.tandfonline.com/doi/abs/10.1080/03610926.2013.799697 http://search.proquest.com/docview/1702890025 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_100 31.73 AVZ AR 44 2015 14 2898 |
| language |
English |
| source |
Enthalten in Communications in statistics / Theory and methods 44(2015), 14, Seite 2898 volume:44 year:2015 number:14 pages:2898 |
| sourceStr |
Enthalten in Communications in statistics / Theory and methods 44(2015), 14, Seite 2898 volume:44 year:2015 number:14 pages:2898 |
| format_phy_str_mv |
Article |
| institution |
findex.gbv.de |
| topic_facet |
BTIBD 62K10 PBIBD PBTIBD Quadratically balanced designs Robust designs |
| dewey-raw |
510 |
| isfreeaccess_bool |
false |
| container_title |
Communications in statistics / Theory and methods |
| authorswithroles_txt_mv |
Biswas, A @@aut@@ Das, P @@oth@@ Mandal, N. K @@oth@@ |
| publishDateDaySort_date |
2015-01-01T00:00:00Z |
| hierarchy_top_id |
129862290 |
| dewey-sort |
3510 |
| id |
OLC1968779973 |
| language_de |
englisch |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a2200265 4500</leader><controlfield tag="001">OLC1968779973</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20220221022742.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">160206s2015 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1080/03610926.2013.799697</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">PQ20160617</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC1968779973</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)GBVOLC1968779973</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(PRQ)c2402-1caf742526ef4d80da3f62d0bf15adb913d5851d2e97bd07715ac23eb7e3e32e0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(KEY)0108848320150000044001402898designsrobustagainstviolationofnormalityassumption</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">DNB</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.73</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Biswas, A</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Designs Robust against Violation of Normality Assumption in the Standard F-test</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2015</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">In this article, designs are found for which the F-test of analysis of variance is insensitive to violation of normality assumption. Atiqullah (1962) proved that the F-test for treatments adjusting for blocks in the intra-block analysis of a balanced incomplete block design is robust against non-normality in the observations. Here an attempt has been made to identify other designs robust in this sense. In particular, it is observed that for testing relevant hypothesis, a partially balanced incomplete block design in block design setup, under certain conditions, is robust. Robustness of a balanced treatment incomplete block design and a partially balanced treatment incomplete block design (Biswas, 2012), in treatment-control design setup, is also studied. Moreover, a new measure of robustness is introduced for further study. The performance of the F-test in presence of non-normality in the observations for a quadratically balanced design is also examined.</subfield></datafield><datafield tag="540" ind1=" " ind2=" "><subfield code="a">Nutzungsrecht: Copyright © Taylor & Francis Group, LLC 2015</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">BTIBD</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">62K10</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">PBIBD</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">PBTIBD</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quadratically balanced designs</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Robust designs</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Das, P</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Mandal, N. K</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Communications in statistics / Theory and methods</subfield><subfield code="d">London : Taylor and Francis, 1982</subfield><subfield code="g">44(2015), 14, Seite 2898</subfield><subfield code="w">(DE-627)129862290</subfield><subfield code="w">(DE-600)283673-7</subfield><subfield code="w">(DE-576)015173747</subfield><subfield code="x">0361-0926</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:44</subfield><subfield code="g">year:2015</subfield><subfield code="g">number:14</subfield><subfield code="g">pages:2898</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">http://dx.doi.org/10.1080/03610926.2013.799697</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="u">http://www.tandfonline.com/doi/abs/10.1080/03610926.2013.799697</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="u">http://search.proquest.com/docview/1702890025</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_100</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">31.73</subfield><subfield code="q">AVZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">44</subfield><subfield code="j">2015</subfield><subfield code="e">14</subfield><subfield code="h">2898</subfield></datafield></record></collection>
|
| author |
Biswas, A |
| spellingShingle |
Biswas, A ddc 510 bkl 31.73 misc BTIBD misc 62K10 misc PBIBD misc PBTIBD misc Quadratically balanced designs misc Robust designs Designs Robust against Violation of Normality Assumption in the Standard F-test |
| authorStr |
Biswas, A |
| ppnlink_with_tag_str_mv |
@@773@@(DE-627)129862290 |
| format |
Article |
| dewey-ones |
510 - Mathematics |
| delete_txt_mv |
keep |
| author_role |
aut |
| collection |
OLC |
| remote_str |
false |
| illustrated |
Not Illustrated |
| issn |
0361-0926 |
| topic_title |
510 DNB 31.73 bkl Designs Robust against Violation of Normality Assumption in the Standard F-test BTIBD 62K10 PBIBD PBTIBD Quadratically balanced designs Robust designs |
| topic |
ddc 510 bkl 31.73 misc BTIBD misc 62K10 misc PBIBD misc PBTIBD misc Quadratically balanced designs misc Robust designs |
| topic_unstemmed |
ddc 510 bkl 31.73 misc BTIBD misc 62K10 misc PBIBD misc PBTIBD misc Quadratically balanced designs misc Robust designs |
| topic_browse |
ddc 510 bkl 31.73 misc BTIBD misc 62K10 misc PBIBD misc PBTIBD misc Quadratically balanced designs misc Robust designs |
| format_facet |
Aufsätze Gedruckte Aufsätze |
| format_main_str_mv |
Text Zeitschrift/Artikel |
| carriertype_str_mv |
nc |
| author2_variant |
p d pd n k m nk nkm |
| hierarchy_parent_title |
Communications in statistics / Theory and methods |
| hierarchy_parent_id |
129862290 |
| dewey-tens |
510 - Mathematics |
| hierarchy_top_title |
Communications in statistics / Theory and methods |
| isfreeaccess_txt |
false |
| familylinks_str_mv |
(DE-627)129862290 (DE-600)283673-7 (DE-576)015173747 |
| title |
Designs Robust against Violation of Normality Assumption in the Standard F-test |
| ctrlnum |
(DE-627)OLC1968779973 (DE-599)GBVOLC1968779973 (PRQ)c2402-1caf742526ef4d80da3f62d0bf15adb913d5851d2e97bd07715ac23eb7e3e32e0 (KEY)0108848320150000044001402898designsrobustagainstviolationofnormalityassumption |
| title_full |
Designs Robust against Violation of Normality Assumption in the Standard F-test |
| author_sort |
Biswas, A |
| journal |
Communications in statistics / Theory and methods |
| journalStr |
Communications in statistics / Theory and methods |
| lang_code |
eng |
| isOA_bool |
false |
| dewey-hundreds |
500 - Science |
| recordtype |
marc |
| publishDateSort |
2015 |
| contenttype_str_mv |
txt |
| container_start_page |
2898 |
| author_browse |
Biswas, A |
| container_volume |
44 |
| class |
510 DNB 31.73 bkl |
| format_se |
Aufsätze |
| author-letter |
Biswas, A |
| doi_str_mv |
10.1080/03610926.2013.799697 |
| dewey-full |
510 |
| title_sort |
designs robust against violation of normality assumption in the standard f-test |
| title_auth |
Designs Robust against Violation of Normality Assumption in the Standard F-test |
| abstract |
In this article, designs are found for which the F-test of analysis of variance is insensitive to violation of normality assumption. Atiqullah (1962) proved that the F-test for treatments adjusting for blocks in the intra-block analysis of a balanced incomplete block design is robust against non-normality in the observations. Here an attempt has been made to identify other designs robust in this sense. In particular, it is observed that for testing relevant hypothesis, a partially balanced incomplete block design in block design setup, under certain conditions, is robust. Robustness of a balanced treatment incomplete block design and a partially balanced treatment incomplete block design (Biswas, 2012), in treatment-control design setup, is also studied. Moreover, a new measure of robustness is introduced for further study. The performance of the F-test in presence of non-normality in the observations for a quadratically balanced design is also examined. |
| abstractGer |
In this article, designs are found for which the F-test of analysis of variance is insensitive to violation of normality assumption. Atiqullah (1962) proved that the F-test for treatments adjusting for blocks in the intra-block analysis of a balanced incomplete block design is robust against non-normality in the observations. Here an attempt has been made to identify other designs robust in this sense. In particular, it is observed that for testing relevant hypothesis, a partially balanced incomplete block design in block design setup, under certain conditions, is robust. Robustness of a balanced treatment incomplete block design and a partially balanced treatment incomplete block design (Biswas, 2012), in treatment-control design setup, is also studied. Moreover, a new measure of robustness is introduced for further study. The performance of the F-test in presence of non-normality in the observations for a quadratically balanced design is also examined. |
| abstract_unstemmed |
In this article, designs are found for which the F-test of analysis of variance is insensitive to violation of normality assumption. Atiqullah (1962) proved that the F-test for treatments adjusting for blocks in the intra-block analysis of a balanced incomplete block design is robust against non-normality in the observations. Here an attempt has been made to identify other designs robust in this sense. In particular, it is observed that for testing relevant hypothesis, a partially balanced incomplete block design in block design setup, under certain conditions, is robust. Robustness of a balanced treatment incomplete block design and a partially balanced treatment incomplete block design (Biswas, 2012), in treatment-control design setup, is also studied. Moreover, a new measure of robustness is introduced for further study. The performance of the F-test in presence of non-normality in the observations for a quadratically balanced design is also examined. |
| collection_details |
GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_100 |
| container_issue |
14 |
| title_short |
Designs Robust against Violation of Normality Assumption in the Standard F-test |
| url |
http://dx.doi.org/10.1080/03610926.2013.799697 http://www.tandfonline.com/doi/abs/10.1080/03610926.2013.799697 http://search.proquest.com/docview/1702890025 |
| remote_bool |
false |
| author2 |
Das, P Mandal, N. K |
| author2Str |
Das, P Mandal, N. K |
| ppnlink |
129862290 |
| mediatype_str_mv |
n |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| author2_role |
oth oth |
| doi_str |
10.1080/03610926.2013.799697 |
| up_date |
2024-07-04T04:09:46.965Z |
| _version_ |
1803620122074546176 |
| fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a2200265 4500</leader><controlfield tag="001">OLC1968779973</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20220221022742.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">160206s2015 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1080/03610926.2013.799697</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">PQ20160617</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC1968779973</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)GBVOLC1968779973</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(PRQ)c2402-1caf742526ef4d80da3f62d0bf15adb913d5851d2e97bd07715ac23eb7e3e32e0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(KEY)0108848320150000044001402898designsrobustagainstviolationofnormalityassumption</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">DNB</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.73</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Biswas, A</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Designs Robust against Violation of Normality Assumption in the Standard F-test</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2015</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">In this article, designs are found for which the F-test of analysis of variance is insensitive to violation of normality assumption. Atiqullah (1962) proved that the F-test for treatments adjusting for blocks in the intra-block analysis of a balanced incomplete block design is robust against non-normality in the observations. Here an attempt has been made to identify other designs robust in this sense. In particular, it is observed that for testing relevant hypothesis, a partially balanced incomplete block design in block design setup, under certain conditions, is robust. Robustness of a balanced treatment incomplete block design and a partially balanced treatment incomplete block design (Biswas, 2012), in treatment-control design setup, is also studied. Moreover, a new measure of robustness is introduced for further study. The performance of the F-test in presence of non-normality in the observations for a quadratically balanced design is also examined.</subfield></datafield><datafield tag="540" ind1=" " ind2=" "><subfield code="a">Nutzungsrecht: Copyright © Taylor & Francis Group, LLC 2015</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">BTIBD</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">62K10</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">PBIBD</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">PBTIBD</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quadratically balanced designs</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Robust designs</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Das, P</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Mandal, N. K</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Communications in statistics / Theory and methods</subfield><subfield code="d">London : Taylor and Francis, 1982</subfield><subfield code="g">44(2015), 14, Seite 2898</subfield><subfield code="w">(DE-627)129862290</subfield><subfield code="w">(DE-600)283673-7</subfield><subfield code="w">(DE-576)015173747</subfield><subfield code="x">0361-0926</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:44</subfield><subfield code="g">year:2015</subfield><subfield code="g">number:14</subfield><subfield code="g">pages:2898</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">http://dx.doi.org/10.1080/03610926.2013.799697</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="u">http://www.tandfonline.com/doi/abs/10.1080/03610926.2013.799697</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="u">http://search.proquest.com/docview/1702890025</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_100</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">31.73</subfield><subfield code="q">AVZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">44</subfield><subfield code="j">2015</subfield><subfield code="e">14</subfield><subfield code="h">2898</subfield></datafield></record></collection>
|
| score |
7.3991575 |