Tridiagonal matrix algorithm - Revision history

158.222.145.108: /* Variants */

2014-11-20T14:53:11Z

Variants

← Older revision		Revision as of 16:53, 20 November 2014
Line 1:		Line 1:
	~~Alyson~~ is ~~what~~ my ~~spouse enjoys to contact me but I don~~'t like ~~when individuals use my complete name~~. ~~My day occupation~~ is a ~~journey agent~~. ~~To climb~~ is ~~some thing she would never give up~~. ~~Ohio~~ is exactly where ~~his house is~~ and ~~his family enjoys it~~.<br><br>Here is my ~~blog:~~ [http://www.~~indosfriends~~.com/~~profile~~-~~253~~/~~info/ spirit messages~~]		Jayson Berryhill is how I'm known as and my wife doesn't like it at all. Distributing production is how he tends to make a living. What me and my family members love is bungee jumping but good psychic, [http://clothingcarearchworth.com/index.php?document_srl=441551&mid=customer_review clothingcarearchworth.com], I've been taking on new [http://kard.dk/?p=24252 tarot card readings] issues recently. North Carolina is exactly where we've been residing for many years and will by no means transfer.<br><br>Here is my website telephone psychic [[http://www.edmposts.com/build-a-beautiful-organic-garden-using-these-ideas/ please click www.edmposts.com]]

en>Salih: Undid revision 597946568 by 212.57.212.1 (talk)

2014-03-03T17:47:13Z

Undid revision 597946568 by 212.57.212.1 (talk)

← Older revision		Revision as of 19:47, 3 March 2014
Line 1:		Line 1:
	~~A '''criterion-referenced test'''~~ is ~~one that provides for translating [[Test (student assessment)\|test]] scores into a statement about the [[behavior]]~~ to ~~be expected of a person with that score or their relationship to a specified subject matter. Most tests and quizzes that are written by school teachers can be considered criterion-referenced tests~~. ~~The objective~~ is ~~simply to see whether the student has learned the material. Criterion-referenced assessment can be contrasted with [[norm-referenced assessment]] and [[ipsative assessment]].~~		Alyson is what my spouse enjoys to contact me but I don't like when individuals use my complete name. My day occupation is a journey agent. To climb is some thing she would never give up. Ohio is exactly where his house is and his family enjoys it.<br><br>Here is my blog: [http://www.indosfriends.com/profile-253/info/ spirit messages]

	~~Criterion-referenced testing was~~ a ~~major focus of psychometric research in the 1970s~~.~~<ref>{{cite journal \| last1 = Weiss \| first1 = D.J. \| last2 = Davison \| first2 = M.L~~. ~~\| year = 1981 \| title = Test Theory and Methods \| url = \| journal = Annual Review of Psychology \| volume = 32 \| issue = \| page = 1 }}</ref>~~

	~~==Definition of ''criterion''==~~

	~~A common misunderstanding regarding the term~~ is ~~the meaning of ''criterion''. Many, if not most, criterion-referenced tests involve a [[cutscore]],~~ where ~~the examinee passes if their score exceeds the cutscore~~ and ~~fails if~~ it does not (often called a mastery test). The ''criterion'' is not the cutscore; the criterion is the domain of subject matter that the test is designed to assess. For example, the criterion may be "Students should be able to correctly add two single-digit numbers," and the cutscore may be that students should correctly answer a minimum of 80% of the questions to pass.

	The criterion-referenced interpretation of a test score identifies the relationship to the subject matter. In the case of a mastery test, this does mean identifying whether the examinee has "mastered" a specified level of the subject matter by comparing their score to the cutscore. However, not all criterion-referenced tests have a cutscore, and the score can simply refer to a person's standing on the subject domain.<~~ref~~>~~[http://www.questionmark.com/us/glossary.htm] QuestionMark Glossary~~<~~/ref~~> ~~The [[ACT (test)\|ACT]]~~ is ~~an example of this; there is no cutscore, it simply is an assessment of the student's knowledge of high-school level subject matter.~~

	~~Because of this common misunderstanding, criterion-referenced tests have also been called [[standards-based assessment]]s by some education agencies,<ref>[http~~://www.apapdc.edu.au/archive/ASPA/conference2000/papers/art_3_9.htm Assessing the Assessment of Outcomes Based Education] by Dr Malcolm Venter. Cape Town, South Africa. "OBE advocates a criterion-based system, which means getting rid of the bell curve, phasing out grade point averages and comparative grading".</ref> as students are assessed with regards to standards that define what they "should" know, as defined by the state.<ref>[http://www.~~home-school~~.com/~~exclusive/standards.html Homeschool World]: "The Education Standards Movement Spells Trouble for Private and Home Schools"</ref>~~

	~~==Comparison of criterion-referenced and norm-referenced tests==~~
	~~{\| class="wikitable" style="float: right; width: 70%"~~
	~~\|+ Sample scoring for the history question: What caused [[World War II]]?~~
	\|-
	~~! style="width: 45%" \| Student answers~~
	~~! style="width: 25%" \| Criterion-referenced assessment~~
	~~! Norm-referenced assessment~~
	\|-
	~~\| ''Student #1:'' <br> WWII was caused by Hitler and Germany invading Poland.~~
	~~\| This answer is correct.~~
	~~\| This answer is worse than Student #2's answer, but better than Student #3's answer.~~
	\|-
	\| ''Student #2:'' <br> WWII was caused by multiple factors, including the Great Depression and the general economic situation, the rise of nationalism, fascism, and imperialist expansionism, and unresolved resentments related to WWI. The war in Europe began with the German invasion of Poland.
	~~\| This answer is correct.~~
	~~\| This answer is better than Student #1's and Student #3's answers.~~
	\|-
	~~\| ''Student #3:'' <br> WWII was caused by the assassination of Archduke Ferdinand.~~
	~~\| This answer is wrong.~~
	~~\| This answer is worse than Student #1's and Student #2's answers.~~
	\|}
	Both terms ''criterion-referenced'' and ''norm-referenced'' were originally coined by [[Robert Glaser]].<ref>{{cite journal \| last1 = Glaser \| first1 = R. \| year = 1963 \| title = Instructional technology and the measurement of learning outcomes \| url = \| journal = American Psychologist \| volume = 18 \| issue = 8\| pages = 519–522 \| doi = 10.1037/h0049294 }}</ref> Unlike a criterion-reference test, a [[norm-referenced test]] indicates whether the test-taker did better or worse than other people who took the test.
	For example, if the criterion is "Students should be able to correctly add two single-digit numbers," then reasonable test questions might look like "<math>2+3 = ?</math>" or "<math>9+5 = ?</math>" A criterion-referenced test would report the student's performance strictly according to whether the individual student correctly answered these questions. A norm-referenced test would report primarily whether this student correctly answered more questions compared to other students in the group.
	Even when testing similar topics, a test which is designed to accurately assess mastery may use different questions than one which is intended to show relative [[ranking]]. This is because some questions are better at reflecting actual achievement of students, and some test questions are better at differentiating between the best students and the worst students. (Many questions will do both.) A criterion-referenced test will use questions which were correctly answered by students who know the specific material. A norm-referenced test will use questions which were correctly answered by the "best" students and not correctly answered by the "worst" students (e.g. Cambridge University's pre-entry 'S' paper).
	Some tests can provide useful information about both actual achievement and relative ranking. The [[ACT (test)\|ACT]] provides both a ranking, and indication of what level is considered necessary to likely success in college.<ref>Cronbach, L. J. (1970). ''Essentials of psychological testing'' (3rd ed.). New York: Harper & Row.</ref> Some argue that the term "criterion-referenced test" is a misnomer, since it can refer to the ''interpretation'' of the score as well as the test itself.<ref>{{cite journal \| last1 = Haertel \| first1 = E. \| year = 1985 \| title = Construct validity and criterion-referenced testing \| url = \| journal = Review of Educational Research \| volume = 55 \| issue = 1\| pages = 23–46 }}</~~ref> In the previous example, the same score on the ACT can be interpreted in a norm-referenced or criterion-referenced manner.~~

	~~==Relationship to high-stakes testing==~~
	Many high-profile criterion-referenced tests are also [[high-stakes test]]s, where the results of the test have important implications for the individual examinee. Examples of this include [[high school graduation examination]]s and licensure testing where the test must be passed to work in a profession, such as to become a physician or attorney. However, being a high-stakes test is not specifically a feature of a criterion-referenced test. It is instead a feature of how an educational or government agency chooses to use the results of the test.

	~~==Examples==~~
	* [[Driving test]]s are criterion-referenced tests, because their goal is to see whether the test taker is skilled enough to be granted a driver's license, not to see whether one test taker is more skilled than another test taker.
	* [[:Category:Citizenship tests\|Citizenship tests]] are usually criterion-referenced tests, because their goal is to see whether the test taker is sufficiently familiar with the new country's history and government, not to see whether one test taker is more knowledgeable than another test taker.

	~~==See also==~~
	* [[Concept inventory]]
	* [[Constructive alignment]]
	* [[Educational assessment]]
	* [[Ipsative assessment]]
	* [[Norm-referenced assessment]]
	* [[Psychometrics]]
	* [[Standardized test]]

	~~== References ==~~
	~~{{reflist}}~~

	~~[[Category:Educational psychology]]~~
	~~[[Category:Psychometrics]]~~
	~~[[Category:Standardized tests]]~~
	~~[[Category:Education reform]~~]

en>Salih: Reverted good faith edits by 82.113.121.95: The general Gaussian elimination procedure does not take into account whether the system is tridiagonal or not; In fact, TDMA is a Gaussian elimination which recognize that the system is tridiagona...

2014-02-03T03:45:15Z

Reverted good faith edits by 82.113.121.95: The general Gaussian elimination procedure does not take into account whether the system is tridiagonal or not; In fact, TDMA is a Gaussian elimination which recognize that the system is tridiagona...

← Older revision		Revision as of 05:45, 3 February 2014
Line 1:		Line 1:
	~~Golda~~ is ~~what~~'~~s created on my beginning certificate although~~ it is not the ~~name on my birth certificate~~. ~~To perform lacross is~~ the ~~thing I adore most~~ of all~~. She functions as~~ a ~~journey agent but soon she~~'~~ll be~~ on ~~her own~~. ~~Kentucky~~ is ~~exactly where I~~'~~ve always~~ been ~~residing~~.<br><br>~~My homepage~~ [http://~~fashionlinked~~.com/~~index~~.~~php~~?do=/profile-~~13453/info/ authentic psychic readings~~]		A '''criterion-referenced test''' is one that provides for translating [[Test (student assessment)\|test]] scores into a statement about the [[behavior]] to be expected of a person with that score or their relationship to a specified subject matter. Most tests and quizzes that are written by school teachers can be considered criterion-referenced tests. The objective is simply to see whether the student has learned the material. Criterion-referenced assessment can be contrasted with [[norm-referenced assessment]] and [[ipsative assessment]].

			Criterion-referenced testing was a major focus of psychometric research in the 1970s.<ref>{{cite journal \| last1 = Weiss \| first1 = D.J. \| last2 = Davison \| first2 = M.L. \| year = 1981 \| title = Test Theory and Methods \| url = \| journal = Annual Review of Psychology \| volume = 32 \| issue = \| page = 1 }}</ref>

			==Definition of ''criterion''==

			A common misunderstanding regarding the term is the meaning of ''criterion''. Many, if not most, criterion-referenced tests involve a [[cutscore]], where the examinee passes if their score exceeds the cutscore and fails if it does not (often called a mastery test). The ''criterion'' is not the cutscore; the criterion is the domain of subject matter that the test is designed to assess. For example, the criterion may be "Students should be able to correctly add two single-digit numbers," and the cutscore may be that students should correctly answer a minimum of 80% of the questions to pass.

			The criterion-referenced interpretation of a test score identifies the relationship to the subject matter. In the case of a mastery test, this does mean identifying whether the examinee has "mastered" a specified level of the subject matter by comparing their score to the cutscore. However, not all criterion-referenced tests have a cutscore, and the score can simply refer to a person's standing on the subject domain.<ref>[http://www.questionmark.com/us/glossary.htm] QuestionMark Glossary</ref> The [[ACT (test)\|ACT]] is an example of this; there is no cutscore, it simply is an assessment of the student's knowledge of high-school level subject matter.

			Because of this common misunderstanding, criterion-referenced tests have also been called [[standards-based assessment]]s by some education agencies,<ref>[http://www.apapdc.edu.au/archive/ASPA/conference2000/papers/art_3_9.htm Assessing the Assessment of Outcomes Based Education] by Dr Malcolm Venter. Cape Town, South Africa. "OBE advocates a criterion-based system, which means getting rid of the bell curve, phasing out grade point averages and comparative grading".</ref> as students are assessed with regards to standards that define what they "should" know, as defined by the state.<ref>[http://www.home-school.com/exclusive/standards.html Homeschool World]: "The Education Standards Movement Spells Trouble for Private and Home Schools"</ref>

			==Comparison of criterion-referenced and norm-referenced tests==
			{\| class="wikitable" style="float: right; width: 70%"
			\|+ Sample scoring for the history question: What caused [[World War II]]?
			\|-
			! style="width: 45%" \| Student answers
			! style="width: 25%" \| Criterion-referenced assessment
			! Norm-referenced assessment
			\|-
			\| ''Student #1:'' <br> WWII was caused by Hitler and Germany invading Poland.
			\| This answer is correct.
			\| This answer is worse than Student #2's answer, but better than Student #3's answer.
			\|-
			\| ''Student #2:'' <br> WWII was caused by multiple factors, including the Great Depression and the general economic situation, the rise of nationalism, fascism, and imperialist expansionism, and unresolved resentments related to WWI. The war in Europe began with the German invasion of Poland.
			\| This answer is correct.
			\| This answer is better than Student #1's and Student #3's answers.
			\|-
			\| ''Student #3:'' <br> WWII was caused by the assassination of Archduke Ferdinand.
			\| This answer is wrong.
			\| This answer is worse than Student #1's and Student #2's answers.
			\|}
			Both terms ''criterion-referenced'' and ''norm-referenced'' were originally coined by [[Robert Glaser]].<ref>{{cite journal \| last1 = Glaser \| first1 = R. \| year = 1963 \| title = Instructional technology and the measurement of learning outcomes \| url = \| journal = American Psychologist \| volume = 18 \| issue = 8\| pages = 519–522 \| doi = 10.1037/h0049294 }}</ref> Unlike a criterion-reference test, a [[norm-referenced test]] indicates whether the test-taker did better or worse than other people who took the test.
			For example, if the criterion is "Students should be able to correctly add two single-digit numbers," then reasonable test questions might look like "<math>2+3 = ?</math>" or "<math>9+5 = ?</math>" A criterion-referenced test would report the student's performance strictly according to whether the individual student correctly answered these questions. A norm-referenced test would report primarily whether this student correctly answered more questions compared to other students in the group.
			Even when testing similar topics, a test which is designed to accurately assess mastery may use different questions than one which is intended to show relative [[ranking]]. This is because some questions are better at reflecting actual achievement of students, and some test questions are better at differentiating between the best students and the worst students. (Many questions will do both.) A criterion-referenced test will use questions which were correctly answered by students who know the specific material. A norm-referenced test will use questions which were correctly answered by the "best" students and not correctly answered by the "worst" students (e.g. Cambridge University's pre-entry 'S' paper).
			Some tests can provide useful information about both actual achievement and relative ranking. The [[ACT (test)\|ACT]] provides both a ranking, and indication of what level is considered necessary to likely success in college.<ref>Cronbach, L. J. (1970). ''Essentials of psychological testing'' (3rd ed.). New York: Harper & Row.</ref> Some argue that the term "criterion-referenced test" is a misnomer, since it can refer to the ''interpretation'' of the score as well as the test itself.<ref>{{cite journal \| last1 = Haertel \| first1 = E. \| year = 1985 \| title = Construct validity and criterion-referenced testing \| url = \| journal = Review of Educational Research \| volume = 55 \| issue = 1\| pages = 23–46 }}</ref> In the previous example, the same score on the ACT can be interpreted in a norm-referenced or criterion-referenced manner.

			==Relationship to high-stakes testing==
			Many high-profile criterion-referenced tests are also [[high-stakes test]]s, where the results of the test have important implications for the individual examinee. Examples of this include [[high school graduation examination]]s and licensure testing where the test must be passed to work in a profession, such as to become a physician or attorney. However, being a high-stakes test is not specifically a feature of a criterion-referenced test. It is instead a feature of how an educational or government agency chooses to use the results of the test.

			==Examples==
			* [[Driving test]]s are criterion-referenced tests, because their goal is to see whether the test taker is skilled enough to be granted a driver's license, not to see whether one test taker is more skilled than another test taker.
			* [[:Category:Citizenship tests\|Citizenship tests]] are usually criterion-referenced tests, because their goal is to see whether the test taker is sufficiently familiar with the new country's history and government, not to see whether one test taker is more knowledgeable than another test taker.

			==See also==
			* [[Concept inventory]]
			* [[Constructive alignment]]
			* [[Educational assessment]]
			* [[Ipsative assessment]]
			* [[Norm-referenced assessment]]
			* [[Psychometrics]]
			* [[Standardized test]]

			== References ==
			{{reflist}}

			[[Category:Educational psychology]]
			[[Category:Psychometrics]]
			[[Category:Standardized tests]]
			[[Category:Education reform]]

92.25.41.95: Diagonally dominant doesn't mean that, and the algorithm holds for all matrices

2012-08-08T10:16:09Z

Diagonally dominant doesn't mean that, and the algorithm holds for all matrices

New page

Golda is what's created on my beginning certificate although it is not the name on my birth certificate. To perform lacross is the thing I adore most of all. She functions as a journey agent but soon she'll be on her own. Kentucky is exactly where I've always been residing.<br><br>My homepage [http://fashionlinked.com/index.php?do=/profile-13453/info/ authentic psychic readings]