Exam 3 Flashcards
Data will be collected on desired ________, both dependent (outcome) and independent.
Variables
The 3 primary levels (groupings) for variables (data) are…
1) Nominal
2) Ordinal
3) Interval or Ratio
The 3 primary levels are based on 3 key attributes, which are…
1) Order/Magnitude
2) Consistency of scale/ Equal distances
3) Rational absolute zero
This primary level has NO order/magnitude, NO consistency of scale/equal distances, and is based on named categories. Dichotomous/binary; Non-ranked.
Nominal
If something has order/magnitude, but only has 2 categories, then it is ALWAYS (NOMINAL/ORDINAL).
Nominal
This primary level has order/magnitude, but NO consistency of scale/equal distances. It is ordered, rank-able categories.
Ordinal
This primary level has order/magnitude and equal distances (units).
Interval/Ratio
(INTERVAL/RATIO) has an arbitrary zero value (0 doesn’t mean absence, it can go negative); (INTERVAL/RATIO) has an absolute zero value (0 means absence of measurement value, it can NOT go negative).
Interval; Ratio
Which primary levels are considered ‘discrete’ or ‘continuous’?
Nominal and Ordinal = Discrete
Interval/Ratio = Continuous
ALL statistical _____ are selected based on the level of data being compared.
Tests
After data is collected, we can appropriately go (UP/DOWN) in specificity/detail of data measurement levels, but we can never go (UP/DOWN).
Down; Up
________ statistics are non-comparative, simple description of various elements of the study’s data.
Descriptive
Examples of descriptive statistics, measures of central tendency (dispersion or spread) are _____/_____/_____; ______/______/______; and ________ ________.
Mode/Median/Mean
Minimum/Maximum/Range
Interquartile Range (IQR)
Interquartile range is the middle ___% of the data.
50%
The average of the squared-differences in each individual measurement value (x) and the groups’ mean is called…
Variance
The square root of the variance value (restores units of mean) is called…
Standard Deviation (SD)
Stats tests useful for normally-distributed data are called _________ tests.
Parametric
_______ representations shows the shape of data (i.e., bell curve).
Graphical
Normally distributed data is considered (SYMMETRICAL/ASYMMETRICAL).
Symmetrical
What a dataset is normally-distributed the following values (parameters) are equal/near equal…
Mean and Median
A standard deviation of +/- 1 from the mean is ____%.
68%
A standard deviation of +/- 2 from the mean is ____%.
95%
A standard deviation of +/- 3 from the mean is ____%.
99.7%
A (POSITVELY/NEGATVELY) skewed graph is when the mean is higher than the median, and the tail (on graph) points to the right.
Positively
Skewed data distribution is considered (SYMMETRICAL/ASYMMETRICAL), with one ‘tail’ longer than another on the graph. A distribution is skewed anytime the median differs from the mean.
Asymmetrical
A (POSITIVELY/NEGATIVELY) skewed graph is the when the mean is lower than the median, and the tail (on graph) points to the left.
Negatively
This is a measure of the asymmetry of a distribution. The perfectly-normal distribution is symmetric and would have a value of 0 with this measurement.
Skewness
T/F. A non-zero skewness value DOES NOT mean it’s skewed.
True
This is a measure of the extent to which observations cluster around the mean. For a normal distribution, the value is 0.
Kurtosis
A positive kurtosis means there is (MORE/LESS) cluster, and a negative kurtosis means there is (MORE/LESS) cluster.
More; Less
What are the 3 required assumptions of interval/ratio data for proper selection of a parametric test?
1) Normally-distributed
2) Equal variances
3) Randomly-derived and Independent
What test is used to assess for equal variances between groups?
Levene’s Test
How is interval data handled that is NOT normally-distributed?
1) Use statistical test that does not require it to be normally-distributed
(OR)
2) Transform data to a standardized value (hoping this makes data normally-distributed)
This is a research perspective that states there will be NO true difference between the groups being compared. It is the most conservative and commonly utilized.
Null Hypothesis (H0)
This type of error is NOT accepting the null hypothesis when it is actually true, and you should have accepted it. There really was no true difference between groups but you believed there was a difference.
Type 1 Error (Alpha)
This type of error is accepting the null hypothesis when it is actually false, and you should NOT have accepted it. There really is a true difference between groups but you believed there was no difference.
Type 2 Error (Beta)
This is the statistical ability of a study to detect the true difference, IF one truly exists between group-comparisons, and therefor the level of accuracy in correctly accepting/not accepting the null hypothesis.
Power (1-Beta)
T/F. The larger the sample size, the greater the likelihood (ability) of detecting a difference if one truly exists.
True
The larger the sample size, then there is a(n) (INCREASE/DECREASE) in power.
Increase
We accept a ____% risk of making Type 2 errors (___% power).
20%; 80%
We accept a ____% risk of making Type 1 errors (____% power).
5%; 95%
The 3 things that determine sample size are –
1) (MINIMUM/MAXIMUM) difference between groups deemed significant
2) Expected variation of measurement
3) Type 1 (alpha) and Type 2 (beta) error rates and confidence interval (ranges from 90%-99%
Minimum
The (SMALLER/LARGER) the difference between groups necessary to considered “significant”, the greater the sample size is needed.
Smaller
If the p-value is lower than the pre-selected alpha (Type 1) value (customarily 5% (0.05)) then we say it (IS/IS NOT) statistically significant.
Is
If the p-value is less than the alpha percentage-risk error (5%), then we (REJECT/ACCEPT) the null hypothesis.
Reject
Interpretation of a pre-set (a priori) p-value —- The probability of making a Type 1 error if the null hypothesis is (ACCEPTED/REJECTED).
Rejected
If we are interpreting the p-value for more than 2 categories, then we focus on the ______ and ______ values to prove a difference.
Lowest; Highest