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T E S T S FOR H IG H E R S TANDARDS PROVIDE F OCUS + F ACILITATE ACHIEVEMENT The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors (VATD) Conference, Richmond, VA, October 28, 2009

The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Page 1: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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The Many Threats to Test Validity

David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test

Directors (VATD) Conference, Richmond, VA, October 28, 2009

Page 2: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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The Many Threats to Test Validity

In order for a test or assessment to have any value whatsoever, it must be possible to make reasonable inferences from the score. This is much harder than it seems. The test instruments, the testing conditions, the students, and the score interpreters, and perhaps Fate, ALL need to be working together to produce data worth using. Many specific threats will be delineated; a number of solutions suggested; and audience participation is strongly encouraged.

Page 3: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Validity and Value come from the same Latin root. The word has to do with being strong, well, good.

Validity = Value

Page 4: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Initial Attitude Adjustment

Amassing StatisticsThe government are very keen on amassing statistics — they collect them, raise them to the n

th power, take the cube root and prepare wonderful diagrams. But what you must never forget is that every oneof those figures comes in the first instance from the village watchman,who just puts down what he damn well pleases.

(J. C. Stamp (1929). Some Economic Factors in Modern Life. London: P. S. King and Son)

Distance from DataI have noticed that the farther one is from the source of data, the more likely one is to believe that the data could be a good basis for action.

(D. E. W. Mott (2009). Quotations.)

Page 5: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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PROVIDE FOCUS + FACILITATE ACHIEVEMENT The ExaminationThe Examinationas shown by the Ghost of Testing Pastas shown by the Ghost of Testing Past

The Examinationas shown by the Ghost of Testing Past

Page 6: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Validity — Older Formulations

1950’s through 1980’s content validity concurrent validity predictive validity construct validity

Lee J. Cronbach

Page 7: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Content Validity — Refers to the extent to which a measure

represents all facets of a given social construct. Social constructs such as: Reading Ability, Math. Computation Proficiency, Optimism, Driving Skill, etc. It is a more formal term than face validity. As face validity refers, not to what the test actually measures, but to what it appears to measure. Face validity is whether a test "looks valid" to the examinees who take it, the administrative personnel who decide on its use, and to others.

Page 8: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Concurrent Validity — Refers to a demonstration of how well a

test correlates well with a measure that has previously been validated. The two measures may be for the same construct, or for different, but presumably related, constructs.

Page 9: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Predictive Validity — Refers to the extent to which a score on a

scale or test predicts scores on some criterion measure. For example, how well do your final benchmarks predict scores on the state SOL Tests?

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Construct Validity — Refers to whether a scale measures or

correlates with the theorized underlying psychological construct (e.g., "fluid intelligence") that it claims to measure. It is related to the theoretical ideas behind the trait under consideration, i.e. the concepts that organize how aspects of personality, intelligence, subject-matter knowledge, etc. are viewed.

Page 11: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Validity — New Formulation

1990’s through now Six aspects or views of Construct Validity

content aspect substantive aspect structural aspect generalizability aspect external aspect consequential aspect

Samuel Messick

Page 12: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Validity — New FormulationSix aspects or views of Construct Validity

Content aspect – evidence of content relevance, representativeness, and technical quality

Substantive aspect – theoretical rationales for consistency in test responses, including process models, along with evidence that the processes are actually used in the assessment tasks

Structural aspect – judges the fidelity of scoring to the actual structure of the construct domain

Generalizability aspect – the extent to which score properties and interpretations generalize to related populations, settings, and tasks

External aspect – includes converging and discriminating evidence from multitrait-multimethod comparisons as well as proof of relevance and utility.

Consequential aspect – shows the values of score interpretation as a basis for action and the actual and potential consequences of test use, especially in regard to invalidity related to bias, fairness, and distributive justice

Page 13: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Validity — New FormulationSix aspects or views of Construct Validity

Content aspect – evidence of content relevance, representativeness, and technical quality

Substantive aspect – theoretical rationales for consistency in test responses, including process models, along with evidence that the processes are actually used in the assessment tasks

Structural aspect – judges the fidelity of scoring to the actual structure of the construct domain

Generalizability aspect – the extent to which score properties and interpretations generalize to related populations, settings, and tasks

External aspect – includes converging and discriminating evidence from multitrait-multimethod comparisons as well as proof of relevance and utility.

Consequential aspect – shows the values of score interpretation as a basis for action and the actual and potential consequences of test use, especially in regard to invalidity related to bias, fairness, and distributive justice

Page 14: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Validity — New FormulationSix aspects or views of Construct Validity

Content aspect – evidence of content relevance, representativeness, and technical quality

Substantive aspect – theoretical rationales for consistency in test responses, including process models, along with evidence that the processes are actually used in the assessment tasks

Structural aspect – judges the fidelity of scoring to the actual structure of the construct domain

Generalizability aspect – the extent to which score properties and interpretations generalize to related populations, settings, and tasks

External aspect – includes converging and discriminating evidence from multitrait-multimethod comparisons as well as proof of relevance and utility.

Consequential aspect – shows the values of score interpretation as a basis for action and the actual and potential consequences of test use, especially in regard to invalidity related to bias, fairness, and distributive justice

Page 15: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Validity — New FormulationSix aspects or views of Construct Validity

Content aspect – evidence of content relevance, representativeness, and technical quality

Substantive aspect – theoretical rationales for consistency in test responses, including process models, along with evidence that the processes are actually used in the assessment tasks

Structural aspect – judges the fidelity of scoring to the actual structure of the construct domain

Generalizability aspect – the extent to which score properties and interpretations generalize to related populations, settings, and tasks

External aspect – includes converging and discriminating evidence from multitrait-multimethod comparisons as well as proof of relevance and utility.

Consequential aspect – shows the values of score interpretation as a basis for action and the actual and potential consequences of test use, especially in regard to invalidity related to bias, fairness, and distributive justice

Page 16: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Validity — New FormulationSix aspects or views of Construct Validity

Content aspect – evidence of content relevance, representativeness, and technical quality

Substantive aspect – theoretical rationales for consistency in test responses, including process models, along with evidence that the processes are actually used in the assessment tasks

Structural aspect – judges the fidelity of scoring to the actual structure of the construct domain

Generalizability aspect – the extent to which score properties and interpretations generalize to related populations, settings, and tasks

External aspect – includes converging and discriminating evidence from multitrait-multimethod comparisons as well as proof of relevance and utility.

Consequential aspect – shows the values of score interpretation as a basis for action and the actual and potential consequences of test use, especially in regard to invalidity related to bias, fairness, and distributive justice

Page 17: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Validity — New FormulationSix aspects or views of Construct Validity

Content aspect – evidence of content relevance, representativeness, and technical quality

Substantive aspect – theoretical rationales for consistency in test responses, including process models, along with evidence that the processes are actually used in the assessment tasks

Structural aspect – judges the fidelity of scoring to the actual structure of the construct domain

Generalizability aspect – the extent to which score properties and interpretations generalize to related populations, settings, and tasks

External aspect – includes converging and discriminating evidence from multitrait-multimethod comparisons as well as proof of relevance and utility.

Consequential aspect – shows the values of score interpretation as a basis for action and the actual and potential consequences of test use, especially in regard to invalidity related to bias, fairness, and distributive justice

Page 18: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Administration Validity Administration Validity is my own

term.

A test administration or a test session is valid if nothing happens that causes a test, an assessment, or a survey to fail to reflect the actual situation.

Test-session validity is an alternate term.

Page 19: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Administration Validity Many things can come between the

initial creation of an assessment from valid materials and the final uses of the scores that come from that assessment.

Imagine a chain that is only as strong as its weakest link. If any link breaks, the value of the whole chain is lost.

This session deals with some of those weak links.

Page 20: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Areas of Validity Failure

Page 21: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Areas of Validity Failure We create a test out of some “valid”

items —Discuss some of the realities most of us face:

We either have some “previously validated” tests or we have a “validated” item bank we make tests from. Let’s assume that they really are valid, this is, the materials have good content matches with the Standards/ Curriculum Frameworks/Blueprints, and so on.

Page 22: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Areas of Validity Failure

Some examples of things that can creep in within the supposedly “mechanical” aspects of creating a test from a bank.

Here are two items from a Biology benchmark test we recently made for a client:

Page 23: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Two Biology ItemsBio.3b

5. Which organic compound is correctly matched with the subunit that composes it?A maltose – fatty acidsB starch – glucoseC protein – amino acidsD lipid – sucrose

Bio.3b

6. Which organic compounds are the building blocks of proteins?A sugarsB nucleic acidsC amino acidsD polymers

Page 24: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Two Biology ItemsBio.3b

5. Which organic compound is correctly matched with the subunit that composes it?A maltose – fatty acidsB starch – glucoseC protein – amino acidsD lipid – sucrose

Bio.3b

6. Which organic compounds are the building blocks of proteins?A sugarsB nucleic acidsC amino acidsD polymers

Standard BIO.3b The student will investigate and understand the chemical and biochemical principles essential for life. Key concepts include b) the structure and function of macromolecules.

Page 25: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Two Biology ItemsBio.3b

5. Which organic compound is correctly matched with the subunit that composes it?A maltose – fatty acidsB starch – glucoseC protein – amino acids *D lipid – sucrose

Bio.3b

6. Which organic compounds are the building blocks of proteins?A sugarsB nucleic acidsC amino acidsD polymers

Page 26: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Two Biology ItemsBio.3b

5. Which organic compound is correctly matched with the subunit that composes it?A maltose – fatty acidsB starch – glucoseC protein – amino acids *D lipid – sucrose

Bio.3b

6. Which organic compounds are the building blocks of proteins?A sugarsB nucleic acidsC amino acids *D polymers

Page 27: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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A Life Science ItemLS.6c

12. In this energy pyramid, which letter would represent producers?

A A

B B

C C

D D

A

B

C

D

Page 28: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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The same Life Science Item “Randomized”LS.6c

12. In this energy pyramid, which letter would represent producers?

A C

B D

C A

D B

A

B

C

D

Page 29: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Moving from test creation

to test administration

Page 30: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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What Can Fail in the Test Administration Process

Page 31: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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What Can Fail in the Test Administration Process

Students aren’t properly motivated Random responding Patterning responses Unnecessary guessing Cheating

Let’s look at what some of these look like:

Page 32: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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1 12 03 04 05 06 17 08 09 010 011 012 013 014 015 116 017 018 119 020 121 022 023 024 025 1 6

What happened here?

Page 33: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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A B C D1 02 03 04 15 06 17 08 09 0

10 011 012 013 114 015 016 117 018 119 120 021 022 023 124 025 0 7

What happened here?

Page 34: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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A B C D1 12 13 14 15 16 17 18 19 1

10 111 112 113 114 015 116 117 118 119 020 021 022 123 024 025 1 19

What happened here?

Page 35: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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What Can Fail in the Test Administration Process

Students or teachers make mistakes. Stopping before the end of test Getting off position on answer sheets Giving a student the wrong answer sheet Scoring a test with the wrong key

Let’s look at what some of these look like:

Page 36: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Yet, Yet Another Student's Item AnalysisA B C D

1 12 13 14 15 16 178 09 0

10 011 112 013 014 015 016 017 018 019 120 021 022 023 024 025 0 826 027282930

What happened here?

Page 37: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Moving to diagnosing students’ needs

Page 38: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Standard 4.1 4.2 4.3Subtotal Subtotal Subtotal Total

Student 1 3 2 4 9Student 2 4 3 5 12Student 3 3 1 5 9Student 4 5 0 5 10Student 5 5 0 4 9Student 6 5 2 5 12Student 7 4 1 4 9Student 8 4 0 3 7Student 9 4 1 3 8Student 10 5 2 4 11Student 11 5 1 4 10Student 12 5 0 5 10

Average .87 .22 .85 .64

Results for a Three-Standard Test

What is the obvious conclusion about these test results?

Page 39: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Standard 4.1 4.1 4.1 4.1 4.1 4.3 4.3 4.3 4.3 4.3 4.2 4.2 4.2 4.2 4.2Item 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Total

Student 1 1 1 0 1 0 1 1 1 0 1 1 1 0 0 0 9Student 2 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 12Student 3 1 1 1 0 0 1 1 1 1 1 1 0 0 0 0 9Student 4 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 10Student 5 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 9Student 6 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 12Student 7 0 1 1 1 1 1 1 1 0 1 1 0 0 0 0 9Student 8 1 1 1 0 1 0 1 1 1 0 0 0 0 0 0 7Student 9 1 1 1 1 0 1 1 0 1 0 1 0 0 0 0 8Student 10 1 1 1 1 1 1 1 1 0 1 1 1 0 0 0 11Student 11 1 1 1 1 1 1 1 0 1 1 1 0 0 0 0 10Student 12 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 10

Average .92 .92 .92 .83 .75 .92 1.00 .83 .67 .83 .67 .33 .08 .00 .00 .64

Results for a Three-Standard Test

What do you think now?

Page 40: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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The chain has many links

Nearly any of them can break

Try to find the weakest links in your organizations efforts

Fix them – one by one

Page 41: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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What are some of my solutions to all of this?

To the problems of mistakes in test creation Use test blueprints Be very careful of automatic test construction Read the test carefully yourself and answer the

questions Have someone else read the test carefully and

answer the questions Use “Kid-Tested” items *

* Future TfHS initiative

Page 42: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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What are some of my solutions to all of this?

Be careful when reading reports – look past the obvious

For problems of careless, unmotivated test taking by students (even cheating) — Make the test less of a contest between the system/teacher and the student and more of a communication device between them Watch the students as they take the test and realize

that proctoring rules necessary for high-stakes tests are possibly not best for formative or semi-formative assessments

Look for/flag pattern marking and rapid responding * Watch the students as they take the test

* Future TfHS/ROS initiative

Page 43: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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Here is a graph showing the timing of student responses to an item

Number of Responses Over Time to a Rather Easy Item

0

2

4

6

8

10

12

14

16

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5

Time (in sec)

Nu

mb

er

of

Re

sp

on

se

s

Page 44: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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For online tests it is possible to screen for rapid responding *

* Future TfHS/ROS initiative

Number of Responses Over Time to a Rather Easy Item

0

2

4

6

8

10

12

14

16

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5

Time (in sec)

Nu

mb

er

of

Re

sp

on

se

s

Page 45: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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A major new way of communicating!

Let the students tell you when they don’t know or understand something – eliminate guessing

New mc scoring scheme: * 1 point for each correct answer 0 points for each wrong answer ⅓ point for each unanswered question Students mark where they run out of time

* Future TfHS/ROS initiative

Page 46: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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A major new way of communicating!

Students have to be taught the new rules Students need one or two tries to get the

hang of it Students need to know when the new

scoring applies It is better for students to admit not

knowing than to guess

Continued

Page 47: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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One Student's Item AnalysisA B C D

1 12 13 14 156 1 Test Length 257 1 Regular 1, 1/3, 08 1 11 13.009 1 44.00% 52.00%10 111 Corrected for Test Length12 1 Regular 1, 1/3, 013 11 13.0014 0 55.00% 65.00%151617 1181920 021 0 022232425

Answering under the new scoring scheme

Page 48: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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One Student's Item AnalysisA B C D

1 12 13 14 156 1 Test Length 257 1 Regular 1, 1/3, 08 1 11 13.009 1 44.00% 52.00%10 111 Corrected for Test Length12 1 Regular 1, 1/3, 013 11 13.0014 0 55.00% 65.00%151617 1181920 021 0 022232425

Answering under the new scoring scheme

Page 49: The Many Threats to Test Validity David Mott, Tests for Higher Standards and Reports Online Systems Presentation at the Virginia Association of Test Directors

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One Student's Item AnalysisA B C D

1 12 13 14 156 1 Test Length 257 1 Regular 1, 1/3, 08 1 11 13.009 1 44.00% 52.00%10 111 Corrected for Test Length12 1 Regular 1, 1/3, 013 11 13.0014 0 55.00% 65.00%151617 1181920 021 0 022232425

Scored under the new scoring scheme

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Humor

Time flies like an arrow;

fruit flies like a banana.

We sometimes need to take a 90° turn in our thinking

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My contact information

David Mott – [email protected]

TfHS website – www.tfhs.net ROS website – rosworks.com