Anova Flashcards
What are the principles of ANOVA.
To test he hypothesis that all means are equal. Compare the variances between the conditions and within the conditions to produce the test statistic known as F (F ratio) If the P value associated with F is significant then it is unlikely that the difference between the means was due to sampling error. Further tests are needed to see if ther is a sig dif between the other conditions. Ie 1and 4
A type 1 error is…?
When the null hypothesis is rejected when it shouldn’t have been. Ie the Means ARE equal after all. Relax people!!
A type 2 error is when ….?
The hull hypothesis is not rejected when it should have been. Ie. There means are actually unequal. There is actually a significant variance in the means of the Dvs for the different levels of the IV
What is the logic of inferential statistics?
To work out the probability of obtaining an effect due to sampling error when the null hypothesis is true.
If you obtain a one tailed p value of 0.02, the equivalent two tailed p value is …?
0.04
What are the pros and cons of using repeated measures?
cons, subjects can get better at a task, or figure out the point of the study and then try to please the researcher. this can be It also might not be possible if for eg, the condition is smoking or sex.
use counter balancing
Pros, Fewer participants are needed, and, it takes acount of individual differnces as a confounding factor, this has improtant implications for Error variance ( ie there is less of it!)
Variance is……?
variance is the average squared deviation (difference) of a data point from the distribution mean
To do this you take the distance of each data point from the mean, square each distance, add them together and then find the average.
The sum of squares is…..?
when you just literally add up all those squared distances from the mean deviation …
The sum of squares is the variance without finding the average bit at the end ….. you just literally add up all those squared distances from the mean deviation …
What are the assumptions about the data that you must make before perfroming an ANOVA?
1) any dependant variables should be measured on at least the INTERVAL SCALE, or the RATIO SCALE
2) The populatioin should be NORMALLY DISTRIBUTED
3) The variances of the populations should be aprox EQUAL (ie, HOMOGENEITY OF VARANCES
4) NO EXTREME SCORES
Partial eta Squared shows…?
shows the percentage of varience that can be accounted for by the different back ground conditions.
written as 0.23 = 23%
or… the variance in the DV accounted for/explained by the IV factor
The Error Variance is…..?
is found within groups and is a result of individual differences and sampling error, NOT a result of the IV!!!!!!!
The IV has a “treatment effect’ BETWEEN groups and on the measurement of their DV
Sphericity.
Sphericity. It is a measure of the correlation (a relationship) between scores in different conditions. This is again because of the fact that the same participant is taking all the conditions available in the study. Therefore, there is a chance that their performance/score in one condition is related to another/others for the factors/IVs tested.
box plot? scatter plot? line graph? histogram?
what are they good for?
Box plot. - -It shows the means as well as the percentile variation around them.
Histogram is better for focusing on the distribution even though the means can be presented.
Scatterplot is for exploring the relationship between two interval/scale variable.
A line graph can show the means, but not spread, but useful for ‘interactions’ (see later learning materials in the module).
when is an independant samples (unrelated) t-test used
for between participants design
what non parametric test can be used if t-test is not? Mann-Whitney!!
Mann-Whitney is…?
Mann-Whitney is a non parametric alternative to the independant t-test