Home ownership feasibility for middle income earners in Nigeria
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¶ … Linear, Logistic or Multiple Correlation/Regression Proposal
Objective of this paper is to use the statistical test to investigate whether the middle income earners in developing countries are capable of becoming home owners. The paper uses Nigeria as a case study. Unlike the developed countries such as the United States and United Kingdom where middle income earners can become house owners, however, the issues are different in developing countries because various factors prevent middle income earners from purchasing housing units compared to middle income earners in developing countries. Typically, a level of income plays a critical role in homeownership. While different governments in developing countries have implemented various policies in assisting people to become homeowners, nevertheless, factors such as corruption, inflation, and poor implementations have made the policy non-realizable. In Sub-Sahara African countries, nearly 62% of people live in slums, and per capital income of most developing countries are less than $300.(Chica, 2008). Moreover, more than 87% of individual households fund are used to fund the housing units since there are little or no support from the governments and mortgage financial institutions. Moreover, economic and social factors also prevent people from becoming home owners in developing countries. For example, majority of households in developing countries have large families, high price of building materials and low propensity to save inhibit home ownership in developing countries.
Research Question
Can middle income earners in Nigeria able to 1 finance homeownership by using 10-year personal savings amount to N2,400,00?
The study multiple linear regression as a major statistical technique to determine whether middle income earners are able to finance homeownership by using o N2,400,000 of their personal savings.
Two types of linear regressions are available they are multiple linear regression, and simple linear regression. A simple linear regression uses the singe independent variable to predict the dependent variables. In other words, simple linear regression assists in predicting the value of a dependent variable.
A multiple linear regression refers to two or more independent variables that are used to predict a dependent variable. The difference between the linear and multiple regressions there is only one dependent variables however, the independent variables are different in both cases.(Trochim, 2006). The proposal selects the multiple linear regression for the analysis because it is able to use multiple independent variables to analyze the dependent variable. (Sukal, 2013).
The statistical notations for this research are as follows:
Ho = null hypothesis.
H1 = alternative hypothesis.
= significance level.
= probability of Type II error.
x =sample mean.
s = standard deviation of a sample.
Research Hypotheses
H1: Middle income in developing countries are likely to purchase homes using their personal savings. The dependent variable is Income, while independent variables are Employment. Status, Age Range, Housing Size, and Rent.
Ho: Middle income in developing countries are not likely to purchase homes using their personal savings. The dependent variable is Income, while independent variables are Employment. Status, Age Range, Housing Size, and Rent.
4. Results
The paper uses the chi-square to determine the results and based on the probability level alpha table, the chi square of 0.05 determines the level of significant. If the p-value is greater than 0.05 (i.e. p > 0.05), the study will accept the null hypothesis, which means the study will "fail to reject the null hypothesis." "
Probability Level Table (alpha)
Df
0.5
0.10
0.05
0.02
0.01
0.001
1
0.455
2.706
3.841
5.412
6.635
10.827
2
1.386
4.605
5.991
7.824
9.210
13.815
3
2.366
6.251
7.815
9.837
11.345
16.268
4
3.357
7.779
9.488
11.668
13.277
18.465
5
4.351
9.236
11.070
13.388
15.086
20.517
However, the study uses the Likelihood Ratio Tests for the results. Since the chi-squares of all the test carried out are greater than all probability level for (alpha = 0.05), the study rejects the null hypothesis (Ho). The output of the regression is presented in the Appendices.
Thus, the study rejects the following the null hypothesis:
Ho: Middle income in developing countries are not likely to purchase homes using their personal savings.
However, the study accepts the following the null hypothesis:
H1: Middle income in developing countries are likely to purchase homes using their personal savings.
The rejection of the null hypothesis makes the paper to conclude that middle income earners are able to finance the homeownership in Nigeria.
Reference
Chica, E.U. (2008). Obstacles to the Individual Home Ownership in Nigeria. International Journal of Housing Markets and Analysis. 1(2):182-194.
Creswell, J. W. (2014). Research design: Qualitative, quantitative, and mixed methods approaches (3rd
ed.). Thousand Oaks, CA: Sage.
Sukal, M. (2013). Research methods: Applying statistics in research. San Diego, CA: Bridgepoint Education, Inc.
Trochim, W. M. K. (2006). Research methods knowledge base (2nd ed.). Web Center for Social Research Methods. Retrieved 01 November 2015 from http://www.socialresearchmethods.net/kb/index.php
Appendices
Appendix 1: Social/Economic Variable Affecting Homeownership
Model Fitting Information
Model
Model Fitting Criteria
Likelihood Ratio Tests
-2 Log Likelihood
Chi-Square
df
Sig.
Intercept Only
1206,951
Final
806,743
400,208
76
,000
Pseudo R-Square
Cox and Snell
,600
Nagelkerke
,626
McFadden
,289
Likelihood Ratio Tests
Effect
Model Fitting Criteria
Likelihood Ratio Tests
-2 Log Likelihood of Reduced Model
Chi-Square
df
Sig.
Intercept
806,743a
,000
0.
EmpStatus
845,487
38,744
16
,001
Age
839,613
32,870
12
,001
FamSize
870,486
63,743
16
,000
Rent
944,216
137,473
16
,000
ResStatus
831,063
24,320
12
,018
Gender
811,521
4,779
4
,311
Case Processing Summary
N
Marginal Percentage
Income
< #20,000
94
21,5%
#20,000 - #39,999
86
19,7%
#40,000 - #59,999
25,2%
#60,000 - #79,999
53
12,1%
>= #80,000
94
21,5%
Employ. Status Unemployed
27
6,2%
Self-employed
50,8%
Employed
32,5%
Retired
23
5,3%
Not applicable
23
5,3%
Age Range
21-30years
25,2%
31-40 years
36,6%
41-50 years
23,6%
51-60 years
64
14,6%
Hse. Size
1-2people
53
12,1%
3-4people
39,8%
5-6people
28,1%
7-8people
33
7,6%
> 8 people
54
12,4%
Rent
< #10,000
28,8%
#10,000 - #24,999
32,0%
#25,000 - #39,999
24,5%
#40,000 - #54,999
39
8,9%
>= #55,000
25
5,7%
Res. Status
Owner/Occupier
60
13,7%
Social tenant
12
2,7%
Tenant
61,6%
Living with friends/family
96
22,0%
Gender
Male
54,2%
Female
45,8%
Valid
100,0%
Missing
0
Total
Subpopulation
282a
Appendix 1: INSTITUIONAL VARIABLES AFFECTING HOMEOWNERSHIP
Model Fitting Information
Model
Model Fitting Criteria
Likelihood Ratio Tests
-2 Log Likelihood
Chi-Square
df
Sig.
Intercept Only
1194,553
Final
884,660
309,893
,000
Pseudo R-Square
Cox and Snell
,508
Nagelkerke
,530
McFadden
,224
Likelihood Ratio Tests
Effect
Model Fitting Criteria
Likelihood Ratio Tests
-2 Log Likelihood of Reduced Model
Chi-Square
df
Sig.
Intercept
884,660a
,000
0.
infrast
924,579
39,919
16
,001
landy
903,912
19,252
16
,256
depositi
908,386
23,725
16
,096
mortgag
900,657
15,997
16
,453
Locatn
914,176
29,516
16
,021
H_PRICE
917,724
33,064
16
,007
bldtype
936,518
51,858
16
,000
sutable
900,549
15,889
16
,461
perm_doc
916,536
31,876
16
,010
bldmat
915,532
30,872
16
,014
Labor
902,931
18,271
16
,308
Case Processing Summary
N
Marginal Percentage
Income
< #20,000
94
21,5%
#20,000 - #39,999
86
19,7%
#40,000 - #59,999
25,2%
#60,000 - #79,999
53
12,1%
>= #80,000
94
21,5%
Infrastructure
SD
36
8,2%
D
56,8%
N
90
20,6%
A
54
12,4%
SA
9
2,1%
Land
SD
85
19,5%
D
62,2%
N
32
7,3%
A
37
8,5%
SA
11
2,5%
Deposit
SD
33,9%
D
38,2%
N
99
22,7%
A
6
1,4%
SA
17
3,9%
Mortgage/LOAN
SD
46
10,5%
D
58,8%
N
61
14,0%
A
57
13,0%
SA
16
3,7%
Location
SD
80
18,3%
D
50,6%
N
26,8%
A
12
2,7%
SA
7
1,6%
HOUSE PRICE
SD
95
21,7%
D
47,1%
N
28,4%
A
5
1,1%
SA
7
1,6%
Building Type
SD
24,0%
D
41,0%
N
29,7%
A
14
3,2%
SA
9
2,1%
Suitability
SD
60
13,7%
D
46,0%
N
33,4%
A
14
3,2%
SA
16
3,7%
Permit & Documentation
SD
77
17,6%
D
54,7%
N
76
17,4%
A
39
8,9%
SA
6
1,4%
Building Materials
SD
78
17,8%
D
57,9%
N
68
15,6%
A
33
7,6%
SA
5
1,1%
Labour
SD
40
9,2%
D
45,8%
N
30,2%
A
54
12,4%
SA
11
2,5%
Valid
100,0%
Missing
0
Total
Subpopulation
340a
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