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what does a pie chart show
relative frequencies (counts) or percentages of the categories of a categorical variable (ordinal and nominal)
what does a histogram show
shows distribution of a single continuous variable to check if data is normally distributed
what does a stacked histogram show
show distribution of a continuous variable broken down by nominal or ordinal variable
what does a line chart show
shows either:
difference in a continuous dependent variable across categories or an ordinal independent varibale
trends between two continuous variables over time
what is a line chart useful for
pair sample t-test and one way repeated ANOVA
what is a multiple line graph useful for
helps for comparison on how two groups differ across the same independent variable
What does a boxplot show
shows distribition of data and detects outliers
what are the variables a simple boxplot uses
1 continous dependent variable and 1 nominal or ordinal independent variablew
what are the variables a clustered boxplot shows
1 continuous dependent variable and 2 independent variables (nominal/ordinal/combination)
what does a bar chart display
counts/frequencies or mean of continuous dependent variable across categories of nominal/ordinal independent varibale
what does a simple bar chart use
1 continuous dependent variable and 1 nominal/ordinal independent variable
when is a clustered bar chart used
2 nominal/ordinal independent variables to show differences in categories based on count/%, mean median
1 continuous dependent variable and 2 nominal/ordinal independent variables to show differences in dependent variable by both independent variable
what does an area chart show
differences in continuous dependent variable over ordinal independent variable
trends between two continuous variables oevr time
what is an area chart useful for
paired-sample t'-test or one way repeated measures ANOVA
what does a simple area chart use
1 contiunous dependent variable and 1 ordinal independent variable (or continuous variable)
what does a stacked area chart use
1 continuous dependent variable and an ordinal independent variable and 1 nominal/ordinal indepdendent variable (3 variables in total)
what does a scatterplot show
the relationship between two continuous variables + used to check for linearity and detect outliers aw
what does a simple scatterplot use
2 continuous variables
what does a grouped scatterplot use
2 continuous variables and 1 nominal/ordinal grouping variable
what does pearson correlation measure
strength and direction of the linear relationship between two continuous variables hatw
what are pearson’s correlation assumptions
continuous scale - both variables measured at interval or ratio level
paired observations - each case has a value for both variables
linear relationship - check via scatteplot
no significant outliers - visible on scatteplot
bivariate normality - both variables individually normal
PACSPOLOB
How to check for normality
analzye - descriptive statistics - explore - plots - normality plots with tests - none for boxplots
When to use Q-Q plot and when to use Shapiro-Wilk
Q-Q plot: n > 50
Shapiro-Wilk: n < 50
What does spearman correlation measure
strength and direction of a monotonic relationship (=nonlinear)
What are spearman’s correlation assumptions
continuous ordinal scale (both continuous, or both ordinal, or one of each)
paired observations
monotonic relationship - check via scatteplot
SACOSPOM
What does chi-square test of association measure
measures whether there is an association between two dichotomous categorical variableshaw
what are chi-square assumptions
two categorical variables
independence of observations - no relationship between groups
all cells: expected count > 5
CACVIOEC5
What does chi-square test for independence measure
two nominla variables are independent (no association), where one or both have more than two categories
What are chi-square test for independence assumptions
two nominal variables
independence of observations
cross-sectional (naturalistic) sampling
all cells: expected count >= 5
CIA are Not Very Interested On Check Super Strict Cells over 5
What is independent-samples t-test
tests whether the means of two independent groups differ significantly on continuous dependent variable
what are independent-samples t-test assumptions
contiunous dependent variable
categorical independent varible (dichotomous)
independence of observations - no relationship between observations within or between groups
no significant outliers
Normality - Shapiro Wilk test
Homogeneity of variances - Levene’s test
Independent Cool Iguanas Need Nice Homes
What is a frequency table
a table for a single variable that indicates the number of cases for each attribute
What is frequency
number of times an attribute occurs
What is cumulative percent
percent of cases at or below a certain attribute
(cumulative frequency/n)*100
What are the measures of central tendency?
Mean: the mathematical average - Sum of X /N
Median: the value of the middle case in a rank-ordered distribution - (N+1)/2
Mode: the most frequently occuring value in a distribution
What is a skew
degree to which a normal distribution is distorted due to outliers
What is dispersion
degree to which cases are clustered around a specific value, usually a mean
What is probability
the likelihood of a particular event occurring
What is standard deviation
a measure of spread of how spread out a set of data is
What are the characteristics of a normal distribution
symmetric
unimodal
asymptotic
mean = median = mode
What is the emipiral rule
68-95-99.7
What is a t test
a statistical test used to compare the means of two groups (pairwise comparison)
What are the types of t-test
independent samples t-test: difference between two independent group’s means
paired samples t-test: difference within a group between two points in time
one-sample t-test: difference between a group and a standard value
What happens if t-value > critical value
reject null hypothesis
What is a fit line
a line running through a scatterplot along the path that minimises the total sum of case deviations from the line
What is correlation
a symmetrical measure of association used with two continuous variables based on variance
What is r²
coefficient of determination: proportion of variation in Y explained by X
What is the cross-tabulation tables
two variables organised into a table one in rows, and one in columns to reval the relationship between them
independent variable: columns
dependent variable: rows
What is Chi-square
compares the strength of the pattern in frequency and cross tabulation tables against table with no pattern (basically if categorical variables are associated)
What is a one-way chi-square used for and what is a two-way chi-square used for
one-way: frequency (one variable)
two-way: cross-tabulation tables (two variables)
what is linear regression
assesses degree to which two variables are correlated and represents this as a straight fitting line
allows for prediction of values of Y and X
Uses continuous variables
What is the equation of linear regression
Y = a + bX
or Y = a + bX + e (error term - the amount of Y that cannot be explained by X)
a = Y intercept
b = slopre regression coefficient (rise divided by run)
What is ordinal
can be ranked from high to low but the distances between categories cannot be measure or are not equal
What are the tailed t-test
two-tailed: tests for differences in either direction
one-tailed: tests for differences in one direction only > or <
What is recoding in SPSS
it groups a continuous variable into categories, creating a new ordinal variable
How to check for linearity + remove outliers
Graphs - scatter/dot - simple scatter
fit line
find r from r²
remove outliers data - select cases - if condition is satisfied
How to run a test for pearson or spearman
Analyze - correlate - bivarite - select what you are looking for - exclude cases pairwise
How to run cross tabs + chi square
Analyze - descriptive statistics - crosstabs - input variables - tick display clustered bar charts (only for chi sqaure test of association) - select Chi square, Phi and Cramer’s V - cells: select expected counts + row, column (+ total only for association; + adjutes standardized residuals only for independence)
What is Levene's test
Levene’s test is a test of homogeneity of variances and it says if variances are equal or not.
Difference between statistical significance and practical significance
statistical significance (p < 0.05) tells you the result is unlikely due to chance. Practical significance (effect size, e.g. Cohen's d) tells you whether the difference is large enough to actually matter in the real world
What are adjusted standardised residuals and what do they tell you
Ajusted standarddised residuals is the differnece between observed and expected counts. It says how independent the variables are as the more the variable is different (rule of thumb of +-3) from the observed, the most dependent it is, therefore association.
What is the difference between Phi and Cramér's V
Phi and Cramer both look at the strength of association. Phi is used for 2x2 tables only, whereas Cramer’s V is used for tabled longer than 2x2.
What does it mean to reject/fail to reject the null hypothesis?
It means that the p-value is less than the significnace level of 0.05, and therefore we can accept the alternative hypothesis stating that there is a trend or pattern in the data. If failed to reject however, it means that the p-value is greater than the sig level of 0.05 meaning there is insufficient evidence to reject the H0