Psy-test & Ass-ch 3 Flashcards
What are descriptive statistics
Organising and summarising datas using numbers and graphs
Data summary
Bar graph, histogram, pic chart and et.
Shape of graph and Skegness
Measures of central tendency
Mean -median-mode
Measures of variability
Range, variance, standard deviation
Inferential statistics
Using sample data to make an inference to draw a conclusion of the population
Use probability to determine how confident we can be that the conclusions we make are correct. ( confidence intervals and margins of error
Conclusion are deduced from dataset
How are things (abilities, traits) are related to one another ( e.g test scores, behaviour, success)
Coefficient of correlation
Is central to testing and measurement.
Determines the strength of the relationship between two things (variables)
The correlation coefficient
Reflects relationship between two variables
Ranges of the correlation coefficient
-1 strongly negative
0
+1 strongly positive
- 4 weak
- -0.6 moderate
- 7 strong correlation
- 0 perfect
Doesn’t imply cause
Give a basic Definition of Reliability in Psychometrics
Consistency in Measurement. (Not necessarily good or bad).
How does Context influence reliability?
A test may be reliable in one context, but not another
What is a Reliability Coefficient?
A reliability coefficient is an index of reliability, a proportion that indicates the ratio between the true score variance on a test and the total variance.
How can we represent the concept of reliability in an equation?
X = T + E
Where X is the score
T is the true score
E is error
What is the Variance?
Variance is the Standard Deviation Squared and can be broken down into components: total variance, true variance & error variance.
What is true variance?
Variance from true difference is true variance. True differences are assumed to be stable, to yeild consistent scores on repeated administrations of the same test as well as on equivalent forms of test
What is error variance?
Error Variance is Variance from irrelevant, random sources.. BEcause error variance may increase or decrease a test score by varying amounts, consistency of the test score, and thus reliability, can be affected.
How does a systematic source of error influence variability?
A Systematic source of error would not effect consistency, it does not change the variability of the distribution or affect reliability.
List the possible sources of Error Variance
The possible sources of error variance are: Test construction, Test Administration, Test Scoring & Interpretation, Other sources of error also exist.
How can test construction influence error variance?
Test construction influences the extent to which a testtaker’s score is affected by the content sampled on the test and by the way in which the item is constructed.
What is item sampling or content sampling in relation to error variance?
Item sampling or Content Sampling refers to the variation among items within a test as well as to variation among items between tests.
What is one of the key challenges faced by test developers in relation to test construction?
A challenge in test development is to maximise the proportion of the total variance that is true variance and to minimise the proportion of the total variance that is error variance.
How can Test Administration influence Error Variance?
Sources of error variance that occur during test administration may influence the testtaker’s attention or motivation.
What are some examples of factors that can have untoward influence during test administration?
Factors that can influence test administration include: Test Environment (i.e. room temperature, lighting, ventilation noise), Testtaker variables (emotional problems, physical discomfort, drug/medication effects, lack of sleep); Examiner-related variables (physical appearance & demeanor, presence or absence of examiner, departure from the prescribed procedure, providing non--verbal cues in oral exams).
How can Test Scoring & Interpretation become a source of error variance?
If subjectivity is involved in scoring (e.g. in the case of nonobjective-type personality tests, tests of creativity, essay tests), then the scorer can be a score of error variance.
How can problems in scoring agreement be addressed to reduce error variance?
Problems in scoring agreement can be addressed through rigorous training designed to make the consistency, or reliability, of various scores as nearly perfect as can be.
Reliability
Consistency in measurement; only refers to something that is consistent (not necessarily consistently good or bad-just consistent)
- different types of degrees of reliability
- the proportion of the total variance attributed to true variance
Reliability Coefficient
in an index of reliability, a proportion that indicates the ratio between the true score variance on a test and the total variance
Observed score
Observed Score (X) = True Score (T) + Error (E)
X = T + E
Error
refers to the component of the observed score that does not have to do with the testtaker’s true ability or trait being measured
Variance
- statistic useful in describing sources of test score variability
- the standard deviation squared
- Variance is broken into 2 components: true variance and error variance
- Variance equals true variance plus Error variance,
Standard deviation
equal to the square root of the averaged squared deviations about the mean; a measure of variability equal to the square root of variance
True variance
Arian will from true differences
Error variance
variance from irrelevant random sources
Total variance
the total variance in an observed distribution (a2) equals the sum of the true variance (a2th) plus the error variance (a2e)
a2 = a2th + a2e
Measurement error
all of the factors associated with the process of measuring some variable, other than the variable being measured
-categorized as either random or systematicl
Random error
a source of error in measuring a targeted variable caused by unpredictable fluctuations and inconsistencies of other variables in the measurement process (ex: noise)..
Systematic error
Systematic error, “. .
Systematic error
a source of error in measuring a variable that is typically constant or proportionate to what is presumed to be the true value of the variable being measured
Sources of error variance.
- test construction
- test administration
- test scoring and interpretation
Test construction source of error variance
variation may consist within items on a test or between tests
Test Scoring and Interpretation Source of Error Variance
- computer testing reduces error in test scoring
- many tests still require expert interpretation (ex: projective tests)
- subjectivity in scoring can enter into behavioral assessment
Other sources of error
- surveys and polls (contain disclaimer as to the margin of error associated w/ findings)
- sampling error
- methodological error
Sampling error
the extent to which the population of voters in the study actually was representative of voters in the election
Exploratory data analysis
It is the first part of your data ,l
Involves things like : establishing the data’s under structure, identifying mistakes and missing data, establishing the key variables, spotting anomalies, checking assumptions, testing hypothesis in relation in specific model..