Fractional Degrees of Freedom in Statistics

The concept of observation and presentation of the count (reference) results in an interval form is considered. The transition to interval measurements is achieved by use of the total reduced number of measurements (number of degrees of freedom) as a sample parameter, which allows the use of non-int...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Progress in physics (Rehoboth, N.M.) N.M.), 2018-07, Vol.14 (3), p.159-164
1. Verfasser: Mashkin, Mikhail N
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 164
container_issue 3
container_start_page 159
container_title Progress in physics (Rehoboth, N.M.)
container_volume 14
creator Mashkin, Mikhail N
description The concept of observation and presentation of the count (reference) results in an interval form is considered. The transition to interval measurements is achieved by use of the total reduced number of measurements (number of degrees of freedom) as a sample parameter, which allows the use of non-integer (fractional) powers of freedom in the calculation of the estimates of static parameters and criteria values. The replacement of single measurements with interval measurements at their same quantities in all cases reduces the accuracy of statistical parameters estimates.
format Article
fullrecord <record><control><sourceid>gale_proqu</sourceid><recordid>TN_cdi_proquest_journals_2100872421</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A557110665</galeid><sourcerecordid>A557110665</sourcerecordid><originalsourceid>FETCH-LOGICAL-g1671-ef4806ed42e09e3944237553810e92545617261dc3bf6df52e0da98a482351713</originalsourceid><addsrcrecordid>eNptj91KxDAQhYMouK6-Q8ErkUr-014uq10XFgRXr0tsJiVL22iTgo9vQIVdKHMxh-E7M2fO0IIIIXIhiTj_14LxS3QVwgFjVlDGFui-GnUTnR90lz1COwKEzNusSsL4PnNDto86uhBdE67RhdVdgJu_vkTv1dPb-jnfvWy269Uub4lUJAfLCyzBcAq4BFZyTplKpwuCoaSCp0SKSmIa9mGlsSJhRpeF5imRIIqwJbr93fs5-q8JQqwPfhpTwlBTgnGhKKdHVKs7qN1gfUyv9C409UoIRQiWUiQqn6FaGGDUnR_AujQ-4R9m-FQGetfMGu5ODImJ8B1bPYVQb_evx-wPw4x05Q</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2100872421</pqid></control><display><type>article</type><title>Fractional Degrees of Freedom in Statistics</title><source>EZB-FREE-00999 freely available EZB journals</source><creator>Mashkin, Mikhail N</creator><creatorcontrib>Mashkin, Mikhail N</creatorcontrib><description>The concept of observation and presentation of the count (reference) results in an interval form is considered. The transition to interval measurements is achieved by use of the total reduced number of measurements (number of degrees of freedom) as a sample parameter, which allows the use of non-integer (fractional) powers of freedom in the calculation of the estimates of static parameters and criteria values. The replacement of single measurements with interval measurements at their same quantities in all cases reduces the accuracy of statistical parameters estimates.</description><identifier>ISSN: 1555-5534</identifier><identifier>EISSN: 1555-5615</identifier><language>eng</language><publisher>Gallup: Progress in Physics</publisher><subject>Accuracy ; Analysis ; Degrees of freedom ; Degrees of freedom (Statistics) ; Mathematical analysis ; Parameter estimation ; Physics ; Statistics</subject><ispartof>Progress in physics (Rehoboth, N.M.), 2018-07, Vol.14 (3), p.159-164</ispartof><rights>COPYRIGHT 2018 Progress in Physics</rights><rights>2018. This work is published under https://creativecommons.org/licenses/by-nc-nd/2.5/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780</link.rule.ids></links><search><creatorcontrib>Mashkin, Mikhail N</creatorcontrib><title>Fractional Degrees of Freedom in Statistics</title><title>Progress in physics (Rehoboth, N.M.)</title><description>The concept of observation and presentation of the count (reference) results in an interval form is considered. The transition to interval measurements is achieved by use of the total reduced number of measurements (number of degrees of freedom) as a sample parameter, which allows the use of non-integer (fractional) powers of freedom in the calculation of the estimates of static parameters and criteria values. The replacement of single measurements with interval measurements at their same quantities in all cases reduces the accuracy of statistical parameters estimates.</description><subject>Accuracy</subject><subject>Analysis</subject><subject>Degrees of freedom</subject><subject>Degrees of freedom (Statistics)</subject><subject>Mathematical analysis</subject><subject>Parameter estimation</subject><subject>Physics</subject><subject>Statistics</subject><issn>1555-5534</issn><issn>1555-5615</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNptj91KxDAQhYMouK6-Q8ErkUr-014uq10XFgRXr0tsJiVL22iTgo9vQIVdKHMxh-E7M2fO0IIIIXIhiTj_14LxS3QVwgFjVlDGFui-GnUTnR90lz1COwKEzNusSsL4PnNDto86uhBdE67RhdVdgJu_vkTv1dPb-jnfvWy269Uub4lUJAfLCyzBcAq4BFZyTplKpwuCoaSCp0SKSmIa9mGlsSJhRpeF5imRIIqwJbr93fs5-q8JQqwPfhpTwlBTgnGhKKdHVKs7qN1gfUyv9C409UoIRQiWUiQqn6FaGGDUnR_AujQ-4R9m-FQGetfMGu5ODImJ8B1bPYVQb_evx-wPw4x05Q</recordid><startdate>20180701</startdate><enddate>20180701</enddate><creator>Mashkin, Mikhail N</creator><general>Progress in Physics</general><scope>ISR</scope><scope>3V.</scope><scope>4T-</scope><scope>4U-</scope><scope>7U5</scope><scope>7XB</scope><scope>88I</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>ABUWG</scope><scope>AEUYN</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>L7M</scope><scope>M2P</scope><scope>P5Z</scope><scope>P62</scope><scope>PCBAR</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>Q9U</scope></search><sort><creationdate>20180701</creationdate><title>Fractional Degrees of Freedom in Statistics</title><author>Mashkin, Mikhail N</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-g1671-ef4806ed42e09e3944237553810e92545617261dc3bf6df52e0da98a482351713</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Accuracy</topic><topic>Analysis</topic><topic>Degrees of freedom</topic><topic>Degrees of freedom (Statistics)</topic><topic>Mathematical analysis</topic><topic>Parameter estimation</topic><topic>Physics</topic><topic>Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Mashkin, Mikhail N</creatorcontrib><collection>Gale In Context: Science</collection><collection>ProQuest Central (Corporate)</collection><collection>Docstoc</collection><collection>University Readers</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest One Sustainability</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies &amp; Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>Earth, Atmospheric &amp; Aquatic Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Science Database</collection><collection>Advanced Technologies &amp; Aerospace Database</collection><collection>ProQuest Advanced Technologies &amp; Aerospace Collection</collection><collection>Earth, Atmospheric &amp; Aquatic Science Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central Basic</collection><jtitle>Progress in physics (Rehoboth, N.M.)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mashkin, Mikhail N</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fractional Degrees of Freedom in Statistics</atitle><jtitle>Progress in physics (Rehoboth, N.M.)</jtitle><date>2018-07-01</date><risdate>2018</risdate><volume>14</volume><issue>3</issue><spage>159</spage><epage>164</epage><pages>159-164</pages><issn>1555-5534</issn><eissn>1555-5615</eissn><abstract>The concept of observation and presentation of the count (reference) results in an interval form is considered. The transition to interval measurements is achieved by use of the total reduced number of measurements (number of degrees of freedom) as a sample parameter, which allows the use of non-integer (fractional) powers of freedom in the calculation of the estimates of static parameters and criteria values. The replacement of single measurements with interval measurements at their same quantities in all cases reduces the accuracy of statistical parameters estimates.</abstract><cop>Gallup</cop><pub>Progress in Physics</pub><tpages>6</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1555-5534
ispartof Progress in physics (Rehoboth, N.M.), 2018-07, Vol.14 (3), p.159-164
issn 1555-5534
1555-5615
language eng
recordid cdi_proquest_journals_2100872421
source EZB-FREE-00999 freely available EZB journals
subjects Accuracy
Analysis
Degrees of freedom
Degrees of freedom (Statistics)
Mathematical analysis
Parameter estimation
Physics
Statistics
title Fractional Degrees of Freedom in Statistics
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-29T02%3A41%3A43IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_proqu&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Fractional%20Degrees%20of%20Freedom%20in%20Statistics&rft.jtitle=Progress%20in%20physics%20(Rehoboth,%20N.M.)&rft.au=Mashkin,%20Mikhail%20N&rft.date=2018-07-01&rft.volume=14&rft.issue=3&rft.spage=159&rft.epage=164&rft.pages=159-164&rft.issn=1555-5534&rft.eissn=1555-5615&rft_id=info:doi/&rft_dat=%3Cgale_proqu%3EA557110665%3C/gale_proqu%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2100872421&rft_id=info:pmid/&rft_galeid=A557110665&rfr_iscdi=true