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To quantify continuous data, what reliability coefficients can be used, and which is preferred?
Pearson correlation (r) and Intraclass correlation coefficient (ICC), ICC is preferred
To quantify discrete data, what reliability coefficients can be used, and which is preferred?
Percent agreement and Kappa, Kappa is preferred
What does quantifying reliability mean?
Expressing the consistency of a measurement or test using numbers, typically as a coefficient or score
What is a dichotomous variable
Binary
ex. yes or no, male or female, have it or you don't
What is a construct?
A construct is an unobservable thing (abstraction), a general concept that must be defined (ex: strength, balance, coordination)
What is an operational definition?
Act of turning a construct into a measurable variable
Continuous variable:
Any value along a continuum within a defined range (ROM, weight, height), it can be a portion or fraction of something
Discrete variable:
Values that are described in only whole units (ex: BPM, children, etc.), dichotomous variables fall under this category
What two levels of measurement fall under "continuous" or "metric"
Ratio and interval
Highest to lowest level of measurement:
Ratio, interval, ordinal, nominal
What is a nominal variable?
For categorization and categorical, there is no quantitative value and is primarily counting frequency only; no category is better than the other
Examples of nominal variables:
Sex, race, occupation, history of cancer
What is an ordinal variable?
Rank-ordered categories but do not know the difference in intervals between the ranks, might have unequal intervals
Examples of ordinal variables:
MMT, income categories, hypo/normal/hyper, NPRS
What is an interval variable?
Rank-ordered variables with equal intervals but no true zero
Examples of interval variables:
Years (A.D. vs B.C.), shoe size, degrees in C or F
What is a ratio interval?
Interval scale with a true zero, so no negative values
Examples of ratio variables:
ROM, height, weight, age, distance
Can you do ratios with interval variables?
No
When converting between ratio, interval, ordinal, or nominal variables; can you convert up? Can you convert down between them?
It is possible to convert scale to a lower level, but you will lost information; it is impossible to convert to a higher level
Another word for independent variable
Factor
What is the independent variable?
What you manipulate or change, have to have two or more groups
What is the dependent variable?
The measured variable, response to the changes in IV's
What is an active varible?
The IV a researchers actually manipulates or can control at the levels of "treatments"
What is an attribute variable?
Cannot be manipulated (ex: age, sex, etc.)
What are independent factors for IV?
Different groups of people for each level; AKA "between-subject" factors
What are repeated factors for IV?
Same people used to measure all levels of IV, subjects are used as their own controls; AKA "within-subject" factors
What is a multifactorial design?
Two or more IVs
What is a single-factor design?
Only has one IV
What is a 2 x 3 factorial design?
It is a design with two independent variables, one with two levels (ex: male or female) and the other with three levels (ex: low fat, low carb, paleo)
What is an univariate design?
Only one dependent variable measured (ex: only ROM)
What is a multivariate design?
More than one dependent variable measured (ex: ROM and BMI)
What is reliability?
Extent to which a measurement is consistent and free from error (consistent and reproducible)
What is validity?
Accuracy, correctness of measurement
Measurement error examples
Tied to reliability; bathroom scale +/- 1 lbs, ROM +/- 5 degrees, Oswestry scale +/- 4 points
What is the equation for measurement theory?
Observed score = true score +/- error (we never really know true score)
Types of measurement error:
Systematic error and random error
What is a systematic error?
An error that causes the measurements to differ from the true value by a consistent amount (always overestimate/underestimate)
What is random error?
Due to chance, from measurement to measurement the values are unpredictable
Sources of measurement error:
Rater, instrument, variability of characteristic being observed
What is rater measurement error?
Error in perception or reporting of measurement by observer
What is instrument measurement error?
Faulty function of mechanical instrument
What is variability of characteristic being observed measurement error?
Natural variability
Ways to improve reliability:
1) Standardize measurement methods
2) Train and test observers
3) Refine, automate, calibrate instruments
4) Blind to reduce differential bias across study groups
When does regression to the mean become an issue?
When people or groups are selected based on extreme scores, could be random error
In terms of regression to the mean, random measurement errors are random and therefore __________ distributed
Normally
What is the best estimate of "true" performance comparing average to best scores?
Average
Classical measurement theory
Every observation of a variable can be divided into two components: true score and error
Generalizability theory
A newer/more complex approach to the question of reliability that considers all types of error in reliability estimates (divides random error into components)
Definition of a variable
A property that can take on different values
What is the old approach to quantifying reliability?
Use of correlation coefficients (pearson's r), which showed the extent of a linear relationship from 0 to 1
Why is there an issue with using the old approach to quantify reliability?
Assesses relationship and not the agreement, it also only allowed for two raters or occasions to be compared
_________ and __________ give single indicators of reliability that capture strength of relationship plus agreement in a single value
ICCs; Kappa
Reliability coefficient equation
true score variability / (true score variability + error variability)
Poor agreement of ICC/Kappa values
0-0.20
Fair agreement of ICC/Kappa values
0.21-0.40
Moderate agreement of ICC/Kappa values
0.41-0.60
Strong agreement of ICC/Kappa values
0.61-0.80
Near complete agreement of ICC/Kappa values
0.81-1.00
Difference in ICC/Kappa and SEM:
ICC and Kappa are relative measure of reliability (no units), but SEM is the absolute measure of reliability
What is Standard Error of Measurement (SEM)?
Absolute measure of reliability, in units of measurement of variable; SEM = SD √1- ICC
What is the minimal detectable change (MDC)?
Smallest amount of change in a variable that must be achieved to reflect a true change/difference, will always be larger than the SEM and at a 95% confidence level
MDC equation
= X +/- (1.96) (SEM) √2
Types of reliability:
Inter-rater, intra-rater, test-retest, alternate forms, internal consistency
What is inter-rater reliability?
Variation between 2 or more raters who measure the same group of people, best assessed in a single trial at the same time
What is intra-rater reliability?
The degree that the examiner agrees with himself or herself
What is rater bias?
When one rater takes 2 measurements; influenced by memory of first score
What is test-retest reliability?
Used to establish that an instrument/tool is capable of measuring a variable consistently
What reliability is used most often for self-report questionnaires, and measures with mechanical or digital readouts?
Test-retest reliability (no rater component)
What are alternate/parallel forms reliability used for?
To see if 2 versions of the same instrument are equivalent
What is internal consistency reliability?
The extent to which different items on a test or scale measure the same underlying construct
What is the internal consistency reliability often used for?
To construct and evaluate scales/questionnaires
What is used to measure internal consistency?
Cronbach's alpha values, ideally between 0.7 to 0.9
What forms of reliability are most relevant for clinicians?
Inter-rater, intra-rater, test-retest
What types of reliability are used to look at questionnaires and surveys or for comparing different forms of testing?
Alternate forms, internal consistency
What is split half reliability?
A form of internal consistency, take all questions and divide (odd-even) then compare halves
What is measuring validity?
Extent to which an instrument measures what it is intended to measure
___________ is a prerequisite for validity
Reliability
The 3 C's for validity
Construct validity, content validity, criterion-related validity
What is content (or face) validity?
Establishes that the multiple items that make up a questionnaire, inventory, or scale adequately sample the universe of content that defines the construct being measured
What is criterion-related validity?
Establishes the correspondence between a target test and a reference or gold standard measure of the same construct
Approaches of criterion-related validity:
Concurrent validity and predictive validity
What is construct validity?
Establishes the ability of an instrument to measure the dimensions and theoretical foundation of an abstract construct
Approaches of construct validity:
Convergent, discriminant validity, known groups method
What is convergent validity?
The extent to which a test correlates with other tests of closely related constructs
What is discriminant validity?
The extent to which a test is uncorrelated with tests of distinct or contrasting constructs
What is concurrent validity?
The extend to which the target test correlates with a reference standard taken at relatively the same time
What is predictive validity?
The extent to which the target test can predict a future reference standard
What is the gold-standard, highest level of validity?
Criterion validity
What is known groups method for construct validity?
Do test results differ between 2 groups known to be different
What is responsiveness in measuring change?
The ability of an instrument to detect minimal change over time
Types of index to measure responsiveness:
MDC and MCID
What is minimal clinically important difference (MCID)?
The smallest difference that signifies an importance to the patient rather than trivial difference, usually larger than MDC
Why does MDC concern reliability rather than validity?
Because it is measurement error
Why does MCID concern validity rather than reliability?
Because it is what we are intending to measure
Why do we use research and evidence based practices?
The ultimate goal of clinical research is to maximize the effectiveness of practice, we need to be able to "upgrade" our knowledge
What is the highest form of truth for sources of knowledge?
Scientific method
What is inductive reasoning?
Starting with a specific observation and leading to general conclusion
What is deductive reasoning?
Starting with general observation and leading to specific conclusion
What falls under "clinical reasoning and experience" in the sources of knowledge chart?
Deductive/inductive reasoning (clinical reasoning) and trial and error (clinical experience)