Two Independent Sample T-Test
Research Objective- To check whether there exists a significant variability in perception of people
travelling by metro is safer for women as compared to other means of public transport with respect
to gender.
Justification- As the variable “travelling by metro is safer for women as compared to other means of
public transport” is qualitative data we will apply “Independent Samples T-Test”
Perception test:
(Null Hypothesis) HO: there is no variability in average perception towards “travelling by metro is
safer for women as compared to other means of public transport” with respect to gender.
(Alternate Hypothesis) H1: there is variability in average perception towards “travelling by metro is
safer for women as compared to other means of public transport” with respect to gender.
H0: µmale = µfemale
H1: µmale ≠ µfemale.
H0: σ²male= σ²female
H1:σ²male≠ σ²female
Interpretation
Here the P(0.030) value is less than α (0.05) which means that equal variances are not assumed in
the in the average perception of “travelling by metro is safer for women as compared to other
means of public transport” with respect to gender.
After we checked that, we can see that the P(0.13) value is less than α (0.05) which means we reject
H0 i.e. null hypothesis and we conclude that there is significant difference in the average perception
of “travelling by metro is safer for women as compared to other means of public transport” with
respect to gender.
Question 2
Multivariate Regression
Research Objective
To check whether there exists a significant association in the frequency of the usage of Mumbai
Metro (DV) with respect to (IVs)
a. The fare price of commuting by metro is high
b. Travelling by metro is safer for women as compared to other means of public transport.
c. The connectivity provided by the metro across Mumbai is good.
d. The waiting time for the metro at the platform is High
e. I normally get a seat in the metro.
f. Swapping of metro card takes less time as compared to buying ticket for other means
g. Maps and Signage of Mumbai metro are not confusing
h. Metro train is comfortable in terms of temperature levels maintained inside the metro.
i. Metro train does not take more time to reach the destination
j. The Metro is helping reduce the environmental pollution in Mumbai.
k. Overall travelling satisfaction to travel in Mumbai Metro
Justification
Since the questionnaire is scalar and there are multiple independent variables, we shall perform
multivariate regression.
Correlation Test
Scatter Plot
a. The fare price of commuting by metro is high vs Frequency of Usage of Mumbai Metro
b. Travelling by metro is safer for women as compared to other means of public transport vs
Frequency of Usage of Mumbai Metro.
c. The connectivity provided by the metro across Mumbai is good vs Frequency of Usage of
Mumbai Metro.
d. The waiting time for the metro at the platform is High vs Frequency of Usage of Mumbai
Metro
e. I normally get a seat in the metro vs Frequency of Usage of Mumbai Metro.
f.
Swapping of metro card takes less time as compared to buying ticket for other means vs
Frequency of Usage of Mumbai Metro
g. Maps and Signage of Mumbai metro are not confusing vs Frequency of Usage of Mumbai
Metro
h. Metro train is comfortable in terms of temperature levels maintained inside the metro vs
Frequency of Usage of Mumbai Metro.
i.
Metro train does not take more time to reach the destination vs Frequency of Usage of
Mumbai Metro
j.
The Metro is helping reduce the environmental pollution in Mumbai vs Frequency of Usage
of Mumbai Metro.
k. Overall travelling satisfaction to travel in Mumbai Metro vs Frequency of Usage of Mumbai Metro
Perception test
(Null Hypothesis) HO: there is no correlation between Frequency of Mumbai Metro usage and other
Independent Variables (IVs).
(Alternate Hypothesis) H1: there is significant correlation between Frequency of Mumbai Metro
usage and other Independent Variables (IVs).
H0: ρ=0
H1: ρ ≠ 0
Interpretation
As we can observe from the table that all the p values are greater than α (0.05), we conclude that
there is no significant correlation between all the independent variables and the dependent variable.
Hence we cannot move further in the process for multivariate regression.