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95 Cards in this Set

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These types of variables are independent of each other and are not associated with one another (r=0).
orthogonal variables
If two variables are orthogonal, knowing the value of one variable provides what information about the value of the other variable?
If two variables are orthogonal, knowing the value of one variable gives no info about the value of the other.
Factoral designs create what kind of variables?
orthogonal
ANOVA requires what type of variables?
orthogonal IVs
What advantages are associated with orthogonality of variables?
each IV adds to the prediction of DV in a simple fashion (but variables that influence a DV are often correlated).
ANOVA requires _____ IVs, but regression can handle _____ IVs.
ANOVA requires orthogonal IVs, but regression can handle nonorthogonal IVs.
This analytic technique can examine unique and overlapping variance accounted for in the DV.
Regression
The assignment of numerals to objects or events according to rules
measurement
Distinguish between continuous and discrete/dichotomous types of measurement.
Continuous measures are quantitative (e.g. age, time). Continuous measures can take on any value within the range of the scale. The size of the number reflects the amount of the variable.

Dichotomous/discrete measurements are nominal, categorical, qualitative (e.g. sex, religion).
What are the four scales of measurement?
nominal, ordinal, interval, ratio
This scale represents the lowest level of measurement. Mutually exclusive categories are present, but numbers are arbitrary and act only as labels. There is no difference in magnitude among the numbers, so it is relatively meaningless to add, average, etc.
Nominal scale
Examples of this type of scale include: sex of participant, political party affiliation.
nominal scale
In this scale, there are mutually exclusive categories. The numbers reflect order, but the differences between adjacent numbers are not equal across the scale. This scale does not have an absolute zero.
Ordinal scale
Examples of this type of scale include: birth order, relative finish in a race
ordinal scale
In this scale, mutually exlusive categories exist and the numbers are ordered. There are equal distances between adjacent numbers, but there is no absolute zero (complete absence of variable). Negative numbers are possible.
Interval scale
Examples of this type of scale include: temperatures in F or C, psych scales.
interval scale
In this scale, you can''t compute ratios, but you can add a constant.
interval scale
negative numbers are possible with this scale.
interval scale
In this scale, there are mutually exclusive categories that are numerically ordered. There are equal distances between adjacent numbers and a true zero that indicates the absence of the measured characteristic. Also, in this scale, the arithmatic ratio of scores is meaningful.
ratio
Examples of this type of scale include: height (e.g., km, mi), weight (e.g. kg, lb).
Ratio
Why is random sampling important in nonexperimental research?
Random sampling is important if you want results from your sample to be reflective of a larger population. You need to get a representative sample from a predefined population so that you can generalize to the population.
Why is random assignment not as important in experimental research?
In experimental research you take a homogenous group, randomly assign treatment to groups, and see if the groups seem to come from different populations after your treatment.
What is important to keep in mind about generalization?
You want to generalize to the type of people who participated. If (instead) you want to generalize about a theory you ask, what can happen?
What are some important things to keep in mind when considering which variables to include in your analysis?
1. best soln with fewest variables
2. reliability, cost, availability, meaning, validity, theory, correlations among variables
An index of the strength of an association between the iv and dv.
effect size
What is the difference between "statistical significance" and "effect size."
Statistical significance tells you whether or not an effect exist, but effect sizes tell you how much of an effect there is (i.e., the size of the effect).
Is F a good index of effect size? Why or why not?
F is not a good index of effect size, because it is influenced by sample size.
Are eta squared and omega squared influenced by sample size?
no
Indicate the proportion of variance in dv that can be attributed to variation in IV.
Eta squared and omega squared

(Eta squared and omega squared are both measures of effect size. Eta squared is the proportion of the total variance that. is attributed to an effect).
Eta squared and omega squared range from zero to 1. What does it mean to have an eta or omega squared of zero? one?
An eta/omega squared of zero indicates that the variables are unrelated/orthogonal.

An eta/omega squared of 1 indicates that the variables are related.
Distinguish between small, medium, and large effect sizes.
small = .01
medium = .06
large = .15
Squared multiple correlation coeficient
R squared
What is power?
The ability to detect an effect if one is present.
Probability of rejecting the null hypothesis when it is false

Probability that true effects will produce statistical significance in your data analysis.
Power
Is equal to 1-B
Power
Beta refers to the likelihood of making what kind of error?
Beta refers to the likelihood of making a type II error. A type II error involves assuming that there is no effect when their really is.
What four things does power depend upon?
1. size of treatment effects
2. degree of error variance
3. significance level
4. Sample size
The greater the effect size, the more likely you are to detect an effect. This has what effect on power.
Greater effect size = greater power.
The ___ the error variance the ____ the power.
The smaller the error variance the greater the power.
Which alpha level ( .05 or .10 ) will give us greater power? Why?
The .10 alpha will give us greater power because we are being less stringent.
The ___ the sample size, the ___ the power.
The larger the sample size, the greater the power.
What are some strategies for increasing power?
1. increase size of tx effects
2. decrease error variance by influencing study design or reliability
3. use a less stringent alpha level
4. increase your sample size.
A more reliable measure will have less error variance. What will this do to power?
increase power
How do we estimate effect size for a power analysis?
we make a realistic guess based on pilot studies and previously published research. (You can also specify relative size of tx effects?)
What term do we use to specify the relative size of tx effects?
Cohen's d. Can be small (corelat .10), medium (.30), or large (.50).
How much power do we need?
.80 is realistic/reasonable for behav sciences.
Index of the amt of observed variability in participant's behavior.
variance
Indicates how tightly or loosely a set of scores cluster around the mean.
variance
Scores that are tightly clustered around the mean have ____ variance.
small
equivalent to the average squared difference from the mean
variance
To get the standard deviation from the variance, take the ...
square root of the variance.
______ is in the same unit of measure as the original scores.
standard deviation
This propoerty is dependent upon the scales of the variables, which can make it difficult to make comparisons.
covariance
is an index of the relationship between two variables
pearson's r
?Provides a general index of the relationship between two variables by taking into account the different variabilities of the 2 original sets of scores.
z score
When you take raw scores to standard scores, this is a ...
linear transformation
z scores are an example of ..
standardized scores
Every score is changed by multiplying or dividing by a constant and or adding or subtracting a constant.
linear transformation
when you do linear transformation, __ and __ change, but the relationship between scores is ____.
When you do linear transformation, means and standard dev change, but the relationship between scores is retained.
The sum of a set of z scores equals..
0
The mean of a set of z scores equals..
0
The variance of a set of z scores equals...
1
The standard deviation of a set of z scores equals..
1
Is the shape of a distrubution of x affected by transforming it to Zx?
No
Is the absolute value of the correlation of X with any other variable affected by transforming it to Zx?
No
Used to describe our data from the sample
sample statistics
M and r are examples of...
sample statistics
summarize population distribution
population parameters
mu for mean and p for correlation. These are associated with what types of stats?
population parameters
How are population parameters typically determined?
Population parameters are usually estimated from sample statistics
A sample contains info about what two things?
1. population distribution
2. parameters of population distribution
the probability distribution of a sample statistic for all random samples of a given size from the same population
sampling distribution
What are some examples of things for which we can create a sampling distribution.
We can create a sampling distribution for any stat: variance, median, range, mode, correlation
How would you go about creating a sampling distribution of the mean?
We would draw many samples of n cases independently and at random from some population. We would then calculate the mean for each sample and create a distribution of those means.
There are two types of estimation of sample stats. What are they?
biased and unbiased estimates of sample stats.
We find a single value that is our best guess of the population parameter. What is this type of estimation called?
Point estimation
Create confidence intervals defining the range of good estimates to either side of the point estimate. What is this type of estimation called?
Interval estimation
The best estimate of mu is M.
What does this mean?
?The best estimate of the population mean is the sample mean
An estimated range of values with a known high probability of covering the true population value.
Confidence interval
The upper and lower limits of the CI tell us what about the effect?
The upper and lower limits of the confidence interval show how small or large the effect might be in the population.
If the value specified in the null hypothesis does not fall within the CI, do we accept or reject the null?
reject
If we collected many samples and computed the mean and 90% CI for each sample, then 90% of those CIs would contain...
the true population mean.
The width of the confidence interval depends on 3 things. What are they?
1. chosen level of CI (i.e., 95 will be narrower than 99).
2. population strd dev (the larger the variance, the wider the CI)
3. sample size (the larger the sample, the narrower the CI).
Which will be wider - a 95% CI or a 99% CI ?
99%
The ____ the variance, the _____ the CI.
The higher the variance, the wider the CI.
The ______ the sample, the _____ the CI.
the larger the sample, the narrower the CI.
The sampling distribution of the mean will approach a normal distribution as sample size gets larger.
central limit theorem
A guess concerning the value of a parameter.
statistical hypothesis
Describe the hypothesis testing procedure.
1. define null and alternative hypothesis
2. test null hypothesis
3. make decision about null hypothesis
4. alternative hypothesis: a guess concerning the value of a parameter that suggests the presence of some pattern or relationship of interest; null hypothesis: a guess concerning the value of a parameter that suggests absence of some pattern or relationship of interest.
A guess concerning the value of a parameter that suggests the presence of some pattern or relationship of interest
alternative hypothesis
a guess concerning the value of a parameter that suggests absence of some pattern or relationship of interest.
null hypothesis
Describe the steps associated with hypothesis testing
step 1: Set up H0 and H1
2: find critical value of t
3: set alpha and set up decision. Rule to reject null if t value is greater than or equal to the critical t.
4: compute t
5: if observed t value is greater than or equal to the critical value of t, than we can reject the null (there is a significant diff).
you reject the null if the t value is ____________ the critical t. Rejection means that ___.
greater than than or equal to,
Rejection means that there are significant differences between groups.
If we obtain a siginificant result, we've observed something relatively unlikely (given the hypothetical situation) but ____ ____ given some alternative situation.
more likely
What does it mean to find a significant mean difference between two groups (p<.05)?
If we collected lots of samples and if the null hypothesis is actually true, then we'd find a mean difference this big or bigger only 5 out of 100 times.