| Course | COUN 6360 Assessment in Counseling and Education |
|---|---|
| Week | Week 3 |
| Paper type | Reliability evidence brief |
| Length | About 620 words, 5 pages |
| Format | APA 7 student paper |
| School | Walden University |
| Program | MS in Clinical Mental Health Counseling |
| Updated | October 2026 |
Free sample paper for COUN 6360 Week 3
How Much to Trust Each Score: A Reliability Evidence Brief Sorting a Manual's Reported Evidence by Kind and Sample, Explaining the Standard Error of Measurement, Placing Bands Around a Junior's Illustrative Math and Reading Scores and Testing Whether the Gap Between Them Is Real
Student Name
Walden University
COUN 6360: Assessment in Counseling and Education
Instructor Name
Month Day, Year
How Much to Trust Each Score: A Reliability Evidence Brief Sorting a Manual's Reported Evidence by Kind and Sample, Explaining the Standard Error of Measurement, Placing Bands Around a Junior's Illustrative Math and Reading Scores and Testing Whether the Gap Between Them Is Real
The Evidence the Manual Reports
Internal consistency describes how consistently the items on a form measure the same thing. Cortina (1993) cautions that coefficient alpha rises with test length and is not a measure of whether a test measures a single construct. Stability shows how consistent scores are over time, which matters if the score is used to plan for the rest of the year. Alternate-form reliability matters if Jordan might be retested on a different form later. Scorer agreement is irrelevant here because the subtests are machine scored.
Table 1
Reliability Evidence for the Two Subtests, as an Illustrative Manual Might Report It
| Kind of evidence | Math reasoning | Reading comprehension | Who produced it | Resembles Jordan? |
|---|---|---|---|---|
| Internal consistency (coefficient alpha) | .88 | .90 | Grade 11 norm sample | Yes |
| Stability over a three-week retest | .82 | .85 | 150 students in grades 9 to 12 | Partly: mixed grades |
| Alternate forms | .84 | .86 | 200 students in grades 10 to 12 | Mostly |
| Agreement between scorers | Not applicable: machine scored | Not applicable | ~ | ~ |
Coefficients are invented for this composite example. A tilde marks a cell that does not apply.
The Standard Error of Measurement
The standard error of measurement describes the expected spread of a person's obtained scores around their hypothetical true score, the score they would earn on average over many parallel testings. Harvill (1991) explains that it is calculated from a test's standard deviation and reliability, and that it shrinks as reliability rises. With a standard deviation of 15 and an internal consistency of .88, the math subtest's standard error is about 5.2 points; the reading subtest's, with reliability of .90, is about 4.7 points.
Bands Around the Scores
At 95 percent confidence, a band reaches roughly 1.96 standard errors above and below the obtained score. Jordan's math standard score of 89 becomes a band of roughly 79 to 99. The reading score of 105 becomes a band of roughly 96 to 114. Nunnally and Bernstein (1994) note that reporting scores as bands guards against treating an obtained score as exact.
The bands change how the scores should be described. The math band reaches from the borderline range into the average range, so Jordan's math reasoning should be described as low average to average, not as clearly below average. The reading band lies within the average range.
Is the Gap Real?
The bands overlap between about 96 and 99, which might suggest that the 16-point difference between math and reading could be due to measurement error. Overlapping bands, however, are not the right test. The appropriate comparison uses the standard error of the difference between the two scores, which combines the two standard errors: here about 7.0 points. A difference of 16 points is larger than 1.96 times that value, about 13.7 points, so at the 95 percent level, chance error in the scores cannot plausibly account for a gap this size.
The careful conclusion is therefore twofold. The difference between Jordan's math and reading is probably real, though how large it is remains unclear, and the math score itself should be reported as a band that reaches into the average range. That is a smaller and more precise claim than "Jordan is weak in math."
Limits
The stability coefficients come from a mixed-grade sample, so the retest evidence fits Jordan less closely than the internal consistency evidence. All coefficients here are illustrative; in a real report, they would come from the manual for the specific form and age group used.
References
Cortina, J. M. (1993). What is coefficient alpha? An examination of theory and applications. Journal of Applied Psychology, 78(1), 98-104. https://doi.org/10.1037/0021-9010.78.1.98
Harvill, L. M. (1991). Standard error of measurement. Educational Measurement: Issues and Practice, 10(2), 33-41. https://doi.org/10.1111/j.1745-3992.1991.tb00195.x
Nunnally, J. C., & Bernstein, I. H. (1994). Psychometric theory (3rd ed.). McGraw-Hill.
Reading the COUN 6360 Week 3 instructions
For Week 3, write a brief of two to three pages on the reliability of the scores you are interpreting. Build a table sorting the manual's reliability evidence by kind and noting who produced each coefficient and how closely that group resembles your examinee. Explain the standard error of measurement in plain terms and calculate it for each score. Place a confidence band around each score and show how the bands change interpretation. If you are comparing two scores, test whether the difference between them is likely to be real, using the appropriate method rather than relying on overlapping bands alone. State the limits of the evidence. Cite measurement sources accurately and label any illustrative values.
How the COUN 6360 Week 3 example is put together
The reliability brief's table sorts four kinds of evidence for two subtests and flags the retest sample as mixed grades. A paragraph explains each kind, citing Cortina on what coefficient alpha does and does not show. The standard error section, citing Harvill, calculates the errors from the standard deviation and reliability. The bands section gives ranges of 79 to 99 and 96 to 114 and explains why math should be described as low average to average, citing Nunnally and Bernstein. The gap section explains why overlapping bands are not the right test, computes a standard error of the difference of about 7.0 and concludes the 16-point gap probably exceeds measurement error. A limits section closes.
COUN 6360 Week 3 rubric: what earns full marks
Correct calculation and interpretation of the standard error and bands carry the most weight. Readers check the arithmetic and whether bands are used to change how scores are described. Sorting evidence by kind and sample earns credit, since coefficients from unlike groups may not apply. The test of the difference between scores is weighed heavily: relying on overlapping bands alone is a common error, and using the standard error of the difference shows real understanding. Stating limits honestly matters. Briefs that report a single reliability coefficient without context, treat obtained scores as exact, or misstate what alpha measures fall into the middle range.
COUN 6360 Week 3 help: mistakes that cost marks
Find the reliability tables in the manual for the exact form and age group you used, and note who was tested. Work out the standard error of measurement using the reliability coefficient and the score's spread, then scale it by 1.96 to build a band at 95 percent confidence. Write each score as a range. If you compare two scores, combine their standard errors to get the standard error of the difference and check whether the difference exceeds about twice that value. Explain what this means in plain words. Label illustrative numbers. If you would like a second check on your calculations, a tutor can help, and the reliability brief above works through each step.
Get a COUN 6360 Week 3 example written to your instructions
Name the instrument your section assigns, or attach the manual excerpt if one is provided, along with the prompt and rubric. A sample brief with estimates sorted, bands placed and a closing statement for a school team comes back in 24 to 48 hours, the first one free. Coefficients are reported only as your source reports them.
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COUN 6360 Week 3 questions, answered
Where can I find a free COUN 6360 Week 3 sample paper?
The reliability evidence brief, with its bands and difference test, appears above.
What is the standard error of measurement in the COUN 6360 Week 3 sample?
The expected spread of obtained scores around a true score, about 5.2 points for the math subtest.
What are the 95 percent bands?
Roughly 79 to 99 for math and 96 to 114 for reading.
Why aren't overlapping bands enough?
The right test is the standard error of the difference, which here shows the gap is probably real.
What limit does the brief name?
The retest evidence comes from a mixed-grade sample, so it fits the junior less closely.