10. Compare Means
(Persepsi Pelajar Terhadap Sekolah)
• Gender (Male, Female)
– Overall
– Prasarana Sekolah
– Tenaga Pengajar
– Kepimpinan Sekolah
11. T Test
• One-Sample T Test
– To compare sample mean and population mean
• Independent-Samples T Test
– To compare means of 2 different groups
• Paired-Samples T Test
– To compare means of 2 sets of data of the same
independent variable
12.
13.
14. Jika Ujian Levene
signifikan (p>.05),
gunakan baris pertama.
Jika Ujian Levene tidak
signifikan (p<.05,
gunakan baris kedua.
Ujian menunjukkan t(34) = .537,
p=.595 adalah tidak signifikan.
Keputusan ujian menunjukkan tidak
terdapat perbezaan skor min
persepsi terhadap sekolah yang
signifikan antara pelajar lelaki dan
pelajar perempuan
15. Assumptions
• Normality
– The assumption of normality is a prerequisite for
many inferential statistic.
– To explore normality graphically
• Histogram
• Box-plot
• Stem-and-leaf plot
– To explore normality statistically
• Shapiro-Wilk statistic
• Skewness
• Kurtosis
16. Assumptions
• Normality (graphically)
– Analyze > Descriptive Statistics > Frequencies
– Move variable (eg Min Keseluruhan) into the
Variable box.
– Click Charts >`Histogram’, `Show normal curve on
histogram’
17.
18. Assumptions
• Normality (statistically) – Shapiro-Wilk
– Analyze > Descriptive Statistics > Explore
– Move variable (eg Min Keseluruhan) into the
Dependent List box.
– Click Plots > Normality plots with test
– If the significance level is >.05, then normality is
assumed.
19.
20. Assumptions
• Homogeneity of variance
– The groups should come from populations with
equal variances
– Levene test
• If the test is significant (p < .05), it shows that the
variances are unequal.
• If the test is not significant (p > .05), it shows that there
is no significant differences between the variances of
the groups.
21. Compare Means
(Persepsi Pelajar Terhadap Sekolah)
• Tingkatan (Ting 1, Ting 2, Ting 3)
– Overall
– Prasarana Sekolah
– Tenaga Pengajar
– Kepimpinan Sekolah
22. Analysis of Variance
• One Way ANOVA
– To compare means of more than 2 groups of an
independent variable.
– Analyze > Compare Means > One-Way ANOVA
– Options > Descriptive > Homogeneity of variance
test
23. Analysis of Variance
• One Way ANOVA
– To compare means of more than 2 groups of an
independent variable.
– Analyze > Compare Means > One-Way ANOVA
– Options > Descriptive > Homogeneity of variance
test
24.
25. The analysis showed that there is no
statistically significant difference at
the level of p < 0.05, F(2, 35) = 1.461,
p = .247.
26. Correlation
• Relationship between 2 variables.
– Value of correlation coefficient, r: -1 < r < 1.
– r < 0 – negative correlation
– r > 0 – positive correlation
– r = 0 – no correlation
– r + 1 – perfect correlation
– R > 0.8 – strong correlation
– R < 0.5 – weak correlation
27. Correlation
• Relationship between 2 variables.
– Pearson product-moment coefficient
• The relationship between 2 continuous variables
– Phi coefficient
• The relationship between 2 categorical variables
– Point-biserial correlation
• The relationship between a continuous and a
categorical variable
– Spearman’s rank-order correlation
• Assumption underlying correlation cannot be met
adequately
28. Correlation
• Assumptions:
– Related pairs: data must be collected from related
pairs
– Scale of measurement: data should be interval or
ratio in nature
– Normality
– Linearity: the relationship between the 2 variables
must be linear
– Homoscedasticity: the variability in scores for one
variable is roughly the same at all values of the
other variable
29. Correlation
– Normality
• Normality – Shapiro-Wilk
–Analyze > Descriptive Statistics > Explore
–Move variable into the Dependent List box.
–Click Plots > Normality plots with test
–If the significance level is >.05, then
normality is assumed.
30. Correlation
– Linearity: the relationship between the 2 variables
must be linear
– Homoscedasticity: the variability in scores for one
variable is roughly the same at all values of the
other variable
– Scatterplot: Graphs Legacy Dialog
Scatter/Dot Simple Scatter
31.
32. There is a linear
relationship
between pre-test
and post-test
The scores cluster uniformly
around the regression line, the
assumption of
homoscedasticity has not been
violated
36. Non-Parametric techniques
• Chi-square
– To discover if there is relationship between 2
categorical variables
• Mann-Whitney test
- To test that 2 independent samples come from
populations having the same distribution.
• Kruskal-Wallis test
– To examine differences between two or more groups.
• Spearman’s rank order correlation (Spearman rho)
– A non-parametric alternative to the parametric
bivariate correlation
37. Chi-square
• To discover if there is relationship between 2
categorical variables
–Variable 1: Gender (Male, Female)
–Variable 2: Hometown (Kuching, Kota
Kinabalu, Others Urban, Rural)
38. Chi-square
• Hypotheses:
–Ho: Hometown and gender are independent
–Ha: Hometown and gender are related
• Analyze Descriptive Crosstabs
Statistics Chi square