Student one way between ANOVA instructions Jasp version
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Workshop One-way Between Subjects ANOVA
Test for Homogeneity
Post Hoc Test
ANOVA – analysis of variance
Used to if there is determine significant difference in the DV (means) between levels of the IV
One-way (one IV variable)
Between subjects (difference subject in each level)
ANOVA tell us if there is a difference – require a post hoc to determine which groups are
significantly different.
Assumption – Homogeneity – check the variances to determine if they are similar across the
levels
Assumption of Normality – check across levels to determine if they are normally distributed
As with a t-test we can only infer causation if we are using a true experiment otherwise
association are inferred (quasi- experiment)
When to use a non-parametric test – assumptions violated, unequal n
Non Parametric -Between Subject - Krusall Wallis H Test- post hoc MWU
Workshop
One-way Between Subjects ANOVA
Test for Homogeneity
Post Hoc Test
Example 3 – use PETREND
Example Question: Participants were divided into the following 5 groups (ADJUSTGP) according to their ADJUST score: LOW1 (scores from the 35 to 59), LOW2 (60 to 69), MEDIAN (70 to 79), HIGH1 (80 to 89), and HIGH2 (scores greater than 90). Are SCST scores different for the ADJUSTGPs? If so, which groups are more resourceful? DV = _________________________
IV =______________________________________________________________________ _____________________________________________________________________________________
_____________________________________________________________________________________
_________________________________________________________________________________
Sub-setting and Grouping is done for this question
1.
Anaylsis -----Descriptives-----ADJUST and SCST -----include Min and Max ---use min, max for subset if required
Descriptive Statistics -Place SCST, and ADJUST , into the Variable Box
-Means, SD, min, max for SCST and ADJUST -Place ADJUSTGP into variable box -Tables- Frequency tables – ADJUSTGP
WARDDescriptive Statistics
jaspDescriptives::Descriptives(
version = "0.17.2",
formula = ~ SCST + ADJUST + ADJUSTGP,
frequencyTables = TRUE)
Descriptive Statistics
SCST
ADJUST
ADJUSTGP
Valid
161
161
161
Missing
0
0
0
Mean
17.530
76.129
Std. Deviation
25.522
13.775
Minimum
-69.000
35.000
Maximum
76.000
104.000
Note.
Not all values are available for Nominal Text
variables
Frequency Tables
Frequencies for ADJUSTGP ADJUSTGP
Frequency
Percent
Valid Percent
Cumulative Percent
high1
41
25.466
25.466
25.466
high2
29
18.012
18.012
43.478
low1
20
12.422
12.422
55.901
low2
29
18.012
18.012
73.913
median
42
26.087
26.087
100.000
Missing
0
0.000
Total
161
100.000
Note.
The following variables have more than 10 distinct values and are omitted: SCST, ADJUST.
ADJUST has been split into 5 groups
, LOW1 (scores from the 35 to 59), LOW2 (60 to 69), MEDIAN (70 to 70), HIGH1 (80 to 89), and HIGH2 (scores greater than 90).
Testing Assumptions: Normality
Go to Descriptives in tool bar
Place SCST in variable box and ADJUSTGP in Split box
Click on Distribution Descriptive Statistics
jaspDescriptives::Descriptives(
version = "0.17.2",
formula = ~ SCST,
shapiroWilkTest = TRUE,
splitBy = "ADJUSTGP")
Descriptive Statistics SCST
high1
high2
low1
low2
median
Valid
41
29
20
29
42
Missing
0
0
0
0
0
Mean
19.589 33.315
-0.743
7.425
20.300
Std. Deviation
21.173 20.931
26.307
26.985
23.748
Shapiro-Wilk
0.976
0.971
0.933
0.984
0.979
P-value of Shapiro-Wilk
0.516
0.589
0.174
0.934
0.640
Minimum
-
38.000
-4.000 -69.000 -54.000 -34.000
Maximum
55.000 76.000
45.000
65.000
69.000
Check the p values for Shapiro-Wilk test and the p values
All the groups are normally distributed therefore we can use a One-way between subjects ANOVA – we still need to check homogeneity of variance One- way between ANOVA Analysis ---- Linear Model
-
Go the the ANOVA icon in the top tool bar
-
DV (ATTITUDE) goes in the variable box
-
IV (grouped) SCSTSP goes in the Fixed Factors box
-
Display
o
Descriptive Stats
o
Estimates of effect size eta square η
2
-
Model - type 11
-
Homogeneity tests -Levene’s -
Post Hoc o
move ADJUSTGP to empty box o
Standard
o
Tukey
ANOVA
jaspAnova::Anova(
version = "0.17.2",
formula = SCST ~ ADJUSTGP,
contrasts = list(list(contrast = "none", variable = "ADJUSTGP")),
descriptives = TRUE,
effectSizeEstimates = TRUE,
homogeneityTests = TRUE,
postHocTerms = ~ ADJUSTGP,
sumOfSquares = "type2")
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