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test statistic t-value degrees of freedom significance level |
test statistic t-value degrees of freedom significance level |
error size significance level effect size mean scores |
used in the denomenator not taken into account used in the numerator sometimes taken into account |
Regression Dependent samples t-test Analysis of Variance Independent samples t-test |
Regression Correlation Repeated Measures Group Differences |
sum of the difference between groups sum of the means for group one sum of the means for group two sum of the squared differences |
cricial value significance level obtained value p value |
reject the null hypothesis accept the null hypothesis accept the research hypothesis decrease your p value |
29 30 31 32 |
Single sample Double sample Paired sample Freed sample |
fd df d f |
SD n M1-M2 SD2 (n-1) |
test statistic degrees of freedom obtained value alpha level |
F t Cohen's d F2 |
One-way Two-way Three-way Four-way |
Grade level Students Parents Level of parent involvement |
F = MSbetweem / MSwithin F = SSbetweem / SSwithin F = MSwithin / MSbetweem F = SSwithin / SSbetweem |
chance the grouping factor the F ratio the level of the dependent variable |
MS within SS within MS between SS between |
30 27 3 2 |
30 29 3 2 |
3 4 7 12 |
omnibus pluribus omnivorous omnibor |
Repeated measures Between group design Mixed design One-way ANOVA |
Repeated design Between groups design Mixed design One-way ANOVA |
Interaction effect Factor effect Level effect Main effect |
ANOVA table Source table Effects table Output table |
One-way ANOVA 2 x 2 ANOVA Multivariate ANOVA 3 x 2 ANOVA |
Repeated measures Between groups design Mixed design One-way ANOVA |
2 x 2 ANOVA 3 x 2 ANOVA 3 x 2 x 1 ANOVA 3 x 3 ANOVA |
2 x 2 ANOVA 3 x 3 ANOVA 2 x 3 ANOVA Simple ANOVA |
interaction effect main effect differential effect experimental effect |
1 2 3 4 |
predictive longitudinal concurrent consecutive |
indirect nondirectional direct unidirectional |
H1: rxy = 0 H1: rxy > 0 H0: rxy = 0 H0: rxy > 0 |
.01 .05 .95 .99 |
test-retest inter-rater parallel forms internal consistency |
24.6% 49.6% 50.4% 75.4% |
one-tailed two-tailed direct positive |
26% 49% 51% 74% |
25% 36% 56% 85% |
25% 44% 56% 75% |
Analysis of variance Repeated measures Linear regression Correlational analysis |
X Y a b |
X Y a b |
X Y a b |
y y-intercept Y' Y = Xa |
intercept predicted score criterion score slope |
Multivariate regression Multiple regression Simple regression Complicated regression |
value of the second dependent variable value of the second independent variable value of the criterion variable value of the predicted score |
It's negative It's postive It's perfect It's direct |
nominal variable dependent variable predictor variable criterion variable |
a2 + b2 = c2 aX + b = Y bX + a = Y' dX + a = Y' |
D h c S |
t-test ANOVA Chi-Square Mann-Whitney |
Goodness of fit test Test of independence Wilcoxon rank Mann-Whitney |
Goodness of fit test Test of independence Wilcoxon rank Mann-Whitney |
25 50 75 100 |
Mann-Whitney Wilcoxon rank Spearman rank Kolmogorov-Smirnov |
Mann-Whitney Wilcoxon rank Spearman rank Fisher's exact |
n - 1 n - 3 r - 1 r - 3 |
0 1 2 3 |
non-normal statistics distribution-free statistics skewed distribution statistics parametric statistics |
ANOVA ANCOVA MANOVA Repeated Measures ANOVA |
ANOVA ANCOVA MANOVA Repeated Measures ANOVA |
ANOVA ANCOVA MANOVA Repeated Measures ANOVA |
MANOVA EFA ANOVA SEM |
Correlation ANOVA MANOVA Path Analysis |
Correlation Factor Analysis Path Analysis MANOVA |
one DV two IVs and one DV two or more DVs more than three IVs |
Analysis of Covariance Repeated Measures Multivariate Analysis Path Analysis |
ANOVA EFA MANOVA Mutliple Regression |
mean differences change over time internal consistency relationships among factors |