Mathematical Stuff Flashcards
You can use factor analysis to find
New constructs amongst your data
What is exploratory factor analysis used for
To identify underlying structure in a group of variables.
Put simply in factor analysis we are looking for
Clusters of highly correlated items
Factor analysis can also be used to establish
Construct validity (sure we’re measuring what we intend to measure)
Factor analysis seeks out
Relationships between variables
Factor analysis tries to put a factor where
A group of items are
1st of Two important types of factor analysis is…
- Force all factors to have a correlation of 0 (no overlap btwn factors completely independent)
We can use a scree plot to interpret
Factor analysis
Three steps to do research…
- Collect data, assess the sample
- Check data fits the mathematical assumptions of the statistical model
- Test hypothesis - fit model
How do you determine goodness of fit?
Significance
Power
Effect size
Sample representativeness is
Is the sample representative of the population? Is there a fit?
Inferential stats are dependent on
A match between our sample and the pop
Inferential stats is about
Inferring!!!
Predicting any outcome comes down to
The model plus a degree of error
Mean is a hypothetical value as it
Doesn’t have to represent a data point in the sample
The mean is a
Description of what’s happening in the sample
We use the mean to
Estimate the value in the population
How do we assess the for of the model?
See how much each of the data points vary from the model
Standard deviation tells us
How good our mean fits the data that we’ve captured
How do we work out the SD
Add up variances of scores to the mean. Sum of squared errors then divide by n -1 (df) convert by square rooting it
SD only describes
The sample you’ve collected
What do we use to determine if a sample is a good representation of the population?
Standard error of the mean
Confidence intervals
Sampling variation is when
Each sample collect has a different mean
Standard error of the mean is looking at
samples and how spread they are in a distribution of samples
Standard error is an estimate based of the
Mean that we already have and the sample size we have
A small standard error indicates
Our sample is likely to be an accurate reflection of the population
Model of observations in sample is where we
Fit the mean/model to the sample using SD
We estimate the SE from the
SD
To calculate the SE you
Take SD divide by square root of n
Confidence intervals mean that the range
Of values within which the population mean actually falls
Conventional confidence intervals are calculated at
95%