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International Journal of Applied Research & Studies ISSN 2278 9480 1 iJARS/ Vol. I/ Issue I/Jun-Aug, 2012/158 Research Article Determinants of Household Decision Making among Women in Kolkata slum Areas: An Application of Multinomial Logistic Regression Authors: Gitanjali Hajra Address for Correspondence: Assistant Professor, Economics & Statistics, Brainware Group of Institutions, Kolkata Abstract: In today’s world women’s autonomy, which is one of the most important indicators of women empowerment, is very well-known concern regarding the gender issue for inclusive growth of an economy. In most of the cases the role of women in family decision making is negligible, where the male member of the family is the final decision maker, which is more visible in the poor families of the developing countries. There are different dimensions of women’s autonomy. The present paper identifies four such dimensions like decision in family planning, Decision in savings, Decision in expenditure and decision in healthcare. This paper attempts to find how far education, age and income have an impact on these four dimensions. In our study the target respondents were only the women segment from Kolkata Municipal Corporation’s slum areas and the primary data has been collected by applying multistage sampling technique. Multinomial Logistic Regression was run through the statistical software SPSS 15 to test the relationship of these variables to all four dimensions of Decision making. Keywords: Decision making, developing countries, Multinomial Logistic Regression, Multi- Stage Sampling, Women’s Autonomy, Women Empowerment. JEL Classification: C01, C12, I25. 1. Introduction: In a less developed country like India, women played an important role for achieving inclusive growth of the economy. In the approach paper of 12 th Five year plan (2012- 17) Planning Commission of India addressed economy’s transition to a higher and more inclusive growth Path implying removal of Social Exclusion. Inclusiveness is a Multidimensional concept; one of such dimensions is women’s autonomy. Dyson and Moore in ‘on kinship structures and Female Autonomy’ (1983) defined autonomy as the capacity to manipulate one’s personal environment and the ability – technical, Social and Psychology to obtain information and to use it as the basis of making decisions about one’s private concerns and those of one’s intimates’. The National Family Health Survey (NFHS-3) Report in India of 1998-99 also measured female autonomy in terms of various indicators on household Decision Making. Role of women in household decision making Process depends on various Social and demographic factors like Income, Age, Occupation, Level of education and so on. In the present

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  • International Journal of Applied Research & Studies ISSN 2278 – 9480

    1

    iJARS/ Vol. I/ Issue I/Jun-Aug, 2012/158

    Research Article

    Determinants of Household Decision Making among Women in Kolkata slum Areas: An Application of Multinomial Logistic

    Regression

    Authors:

    Gitanjali Hajra

    Address for Correspondence:

    Assistant Professor, Economics & Statistics, Brainware Group of Institutions, Kolkata

    Abstract: In today’s world women’s autonomy, which is one of the most important indicators of women empowerment, is very well-known concern regarding the gender issue for inclusive

    growth of an economy. In most of the cases the role of women in family decision making is

    negligible, where the male member of the family is the final decision maker, which is more

    visible in the poor families of the developing countries. There are different dimensions of

    women’s autonomy. The present paper identifies four such dimensions like decision in family

    planning, Decision in savings, Decision in expenditure and decision in healthcare. This paper

    attempts to find how far education, age and income have an impact on these four dimensions. In

    our study the target respondents were only the women segment from Kolkata Municipal

    Corporation’s slum areas and the primary data has been collected by applying multistage

    sampling technique. Multinomial Logistic Regression was run through the statistical software

    SPSS 15 to test the relationship of these variables to all four dimensions of Decision making.

    Keywords: Decision making, developing countries, Multinomial Logistic Regression, Multi-Stage Sampling, Women’s Autonomy, Women Empowerment.

    JEL Classification: C01, C12, I25.

    1. Introduction: In a less developed country like India, women played an important role for achieving inclusive growth of the economy. In the approach paper of 12

    th Five year plan (2012-

    17) Planning Commission of India addressed economy’s transition to a higher and more

    inclusive growth Path implying removal of Social Exclusion. Inclusiveness is a

    Multidimensional concept; one of such dimensions is women’s autonomy. Dyson and Moore in

    ‘on kinship structures and Female Autonomy’ (1983) defined autonomy as the capacity to

    manipulate one’s personal environment and the ability – technical, Social and Psychology to

    obtain information and to use it as the basis of making decisions about one’s private concerns

    and those of one’s intimates’. The National Family Health Survey (NFHS-3) Report in India of

    1998-99 also measured female autonomy in terms of various indicators on household Decision

    Making. Role of women in household decision making Process depends on various Social and

    demographic factors like Income, Age, Occupation, Level of education and so on. In the present

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    study finds out the different factors that can influence the household decision making progress of

    women.

    2. Review of Literature: There exist several studies conducted by the different researchers, which examined the determinants of Women’s Autonomy in household Decision Making.

    Dev Raj Acharya, Jacqueline S Bell, Padam Simkhada, Edwin R van Teijlingen and Pramod Raj

    Regmi in the study of ‘ Determinants of Women's Autonomy in Decision Making’(2010) aimed

    to explore the links between women’s household position and their autonomy in decision

    making.

    In another research study by Nava Ashraf (Spousal Control and Intra-Household Decision

    Making: An Experimental Study in the Philippines Harvard Business School) found that

    household savings and investments typically depend on how decision making power distributed

    between men and women. It also analyzed the fact that, financial decisions of the household are

    greatly affected by the fact that the income is known to spouses or not.

    Marie Furuta and Sarah Salway in their study of ‘Women’s Position Within the Household as a

    Determinant Of Maternal Health Care Use in Nepal’ (2006) examined women participation

    within their household—decision making, employment and influence over earnings, and spousal

    discussion of family planning by running a logistic Regression Model and showed that there is a

    strong association of women’s education with health.

    M. Hemanta Meitei in the study titled ‘Education or Earning and Access to Resources

    Determining Women’s Autonomy: An Experience Among Women of Manipur’ investigated

    how far education or earning and access to resources have a significant impact on women’s

    decision making power. He concluded that, most of the decisions are taken jointly (both husband

    and wife) while working women take more of independent decisions than the non-working

    women. Controlling effect of the other background variables work status of women turn out a

    significant explanatory variable rather education.

    Mosiur Rahman, Uzzal K. Karmaker and Abdur R. Mia in the study of ‘ Determinants of

    Women Empowerment at Domestic and Non-domestic Issues: Evidence from Chapai Nawabganj

    District in Bangladesh’ examined the determinants of women empowerment at domestic and

    non-domestic issues in Bangladesh. From the logistic regression model considering decision-

    making power for household affairs as the dependent variable, it had shown that as the level of

    education of the respondents increases their decision making power also increases.

    Siwan Anderson and Mukesh Eswaran in the article titled ‘What Determines Female Autonomy?

    Evidence from Bangladesh’ (2005) examined the determinants of female autonomy within

    households in Bangladesh, a developing country. They investigated the relative contributions of

    earned versus unearned income in enhancing women’s autonomy and the role of employment

    outside of their husband’s farm.

    Data: For the present study, Primary data have been collected from the slum areas of Kolkata Municipal Corporations. In this survey each woman was asked the questions based on structured

    questionnaire to measure their role in family decision making directly. We have taken a sample

    of 100 women from Kolkata Slum areas.

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    3. Variables under the Study: In general there are two types of variables: dependent and independent.

    Independent Variable: Independent variables under the study was –

    a) Age of an Woman b) Educational Qualification of a woman, which is a categorical variable. This variable is categorized into six groups: Illiterate, Primary, Secondary, Higher Secondary, Graduate and Post

    Graduate.

    c) Income of a woman is categorized into three: < Rs 5000, Rs 5000-Rs.10000 and >Rs 10000.

    Dependent Variable: The dependent variable in this study consists of four types of household

    decision making of women which has three aspects:

    a) Decision in family planning b) Decision in family saving c) Decision in family expenditure d) Decision in healthcare Expenditure The above four variables are categorized into three levels: 1=High, 2=Low and 3=No Role.

    4. Objective of the study: The specific objective of the present study is to identify the relationship between:

    a) Role of level of education of women and decision in family planning, family savings, family expenditure and healthcare.

    b) Role of Age of Women and decision in family planning, family savings, family expenditure and healthcare.

    c) Role of Income of Women and decision in family planning, family savings, family expenditure and healthcare.

    5. Research Methodology:

    Multinomial Logistic Regression (MLR): To understand the role of women education, age and Income in family decision making process

    we have used several statistical and analytical tools. In this study we have Multinomial logistic

    regression (MLR) and to predict the presence or absence of a characteristic or outcome based on

    values of a set of predictor variables.

    When the dependent variable is categorized then we can’t use Ordinary Least Square Method

    (OLS) to predict the dependent variable. In that case Logistic Regression is applied for

    predicting the dependent variable.

    Logistic regression is useful for situations in which we want to be able to predict the presence or

    absence of a characteristic or outcome based on values of a set of predictor variables. It is similar

    to a linear regression model but is suited to models where the dependent variable is dichotomous

    (0 and 1).

    The multinomial (polytomous) logistic regression model is an extension of the Binomial logistic

    regression model, the dependent variable is not restricted only to two categories and the

    independent variables may be categorized or may be continuous. It is used when the dependent

    variable has more than two nominal or unordered categories, in which Independent variables can

    be factors or covariates. In general, factors should be categorical variables and covariates should

    be continuous variables. In our study each of the four dependent variables is categorized into

    three levels: High (Code1), Low (Code 2) and no role (Code 3). Among the independent

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    variables level of education is categorized into six dummies: 0 for illiterate, 1 for primary, 2 for

    secondary, 3 for Higher Secondary, 4 for Graduate and 5 for the others.

    The overall test of relationship among the independent variables and the dependent was based on

    the reduction in the likelihood values for a model without any independent variables and the

    model with the independent variable. This difference in likelihood followed a chi-square

    distribution. The Logistic Regression equation by using the Maximum Likelihood Estimation is given by:

    Log-odds=A+B(X)

    Or, Odds= Antilog (A+B(X))

    Where, the Odds ratio (p/(1 − p) indicates the ratio of the Proportion of Occurrences to the

    Proportion of non-occurrences.

    The Wald statistic is used to test the significance of individual logistic regression coefficients for

    each independent variable (that is, to test the null hypothesis in logistic regression that a

    particular logit (effect) coefficient is zero). Wald statistic is the squared ratio of the

    unstandardized logistic coefficient to its standard error.

    Results of Multinomial Logistic Regression Model:

    6. Factors affecting the level of savings as one dimension of women decision

    making: Multinomial Logistic Regression Analysis:

    6.1 Overall Test of the relationship

    6.1.1 Model Fitting Information: The first analysis of Multinomial Logistic Regression is to

    describe the overall Test of the relationship i.e. the relationship between the dependent and the

    dependent variable. This relationship is based on the statistical significance of the final model

    Chi-Square. Chi-Square Statistic is the difference in 2 Log-Likelihood between the final model

    and the reduced model.

    Table 6.1

    From the log-likelihood table the log likelihood function (-2Log likelihood) will decrease if the

    independent variables have a relationship with the dependent variable. In our analysis (Table 6.1)

    the initial Log Likelihood value (with no independent variable) is 171.513 and the final Log

    Likelihood (including the independent variable) is 138.805. The difference between the two is a

    Chi-Square and its significance value is 0.001 (which is less than 0.05). So, there is significant

    relationship between the dependent variable (level of savings) and the independent variables

    (Income, age and level of education). So, the final model is outperforming the null model.

    6.1.2 Goodness of Fit:

    Model Fitting Information

    171.513

    138.805 32.707 12 .001

    Model

    Intercept Only

    Final

    -2 Log

    Likelihood

    Model

    Fitting

    Criteria

    Chi-Square df Sig.

    Likelihood Ratio Tests

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    Pearson and Deviance Goodness of Fit measure how the model adequately fits the data. The Null

    Hypothesis in this case is given by-

    H0: There is no Difference between Observed and Expected Frequencies, i.e. the model is good

    fit.

    If the significance value is >0.05, it is not statistically Significant and the model is good fit. In

    table 6.2 the significant value of Chi-Square is greater than 0.05. So, we can say that, the data

    Table 6.2

    Are consistent with the model assumptions i.e. the model adequately fits with the data.

    6.2 Strength of the Multinomial Logistic Regression Relationship:

    6.2.1 Classification Matrix as a measure of Model accuracy:

    The classification Table shows the practical results of using MLR Model. This cross tabulation

    of the observed response categories with the predicted response categories helps to assess the

    predictive performance of the model. Cells along the diagonal represent numbers of correct

    predictions. Cells off the diagonal represent numbers of incorrect predictions.

    Table 6.3

    The Table 6.3 classifies correctly 62.2 out of 100 respondents who state that, they have a high

    role in family household savings. The model gives better accuracies for ‘High’ role group and

    ‘Low’ role group but not for the ‘No Role’ group.

    6.2.2 Relationship between Dependent Variable and Independent variables (likelihood

    Ratio Test):

    Likelihood Ratio Test Checks the contribution of each independent variables to the dependent

    variable. If the significance of the test is small (i.e., less than 0.05) then the effect contributes

    significantly to the model.

    Goodness-of-Fit

    112.984 130 .856

    114.368 130 .834

    Pearson

    Deviance

    Chi-Square df Sig.

    Classification

    23 13 1 62.2%

    12 37 0 75.5%

    1 12 1 7.1%

    36.0% 62.0% 2.0% 61.0%

    Observed

    High

    Low

    No Role

    Overall Percentage

    High Low No Role

    Percent

    Correct

    Predicted

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    Table 6.4

    In table 6.4 only level of education is significant, because the significance value of chi-Square

    for this independent variable is 0.005(

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    Savings(a) B Std. Error Wald df Sig. Exp(B)

    95% Confidence Interval for Exp(B)

    Lower Bound Upper Bound

    High Intercept 20.901 2.318 81.281 1 .000

    Age -.069 .053 1.700 1 .192 .933 .841 1.035

    [Income=1.00] -.425 .982 .187 1 .666 .654 .095 4.484

    [Income=2.00] 0(b) . . 0 . . . .

    [Leveledu=.00] -18.305 1.886 94.254 1 .000 1.12E-008 2.79E-010 4.52E-007

    [Leveledu=1.00] -16.200 2.123 58.239 1 .000 9.21E-008 1.44E-009 5.91E-006

    [Leveledu=2.00] .488 2852.015 .000 1 1.000 1.628 .000 .(c)

    [Leveledu=3.00] -16.845 1.505 125.311 1 .000 4.83E-008 2.53E-009 9.23E-007

    [Leveledu=4.00] 0(b) . . 0 . . . .

    Low Intercept 19.728 1.849 113.887 1 .000

    Age -.072 .046 2.407 1 .121 .931 .850 1.019

    [Income=1.00] .361 .958 .142 1 .706 1.435 .220 9.377

    [Income=2.00] 0(b) . . 0 . . . .

    [Leveledu=.00] -16.518 1.364 146.572 1 .000 6.70E-008 4.62E-009 9.72E-007

    [Leveledu=1.00] -14.920 1.672 79.603 1 .000 3.31E-007 1.25E-008 8.78E-006

    [Leveledu=2.00] .698 2852.015 .000 1 1.000 2.010 .000 .(c)

    [Leveledu=3.00] -17.073 .000 . 1 . 3.85E-008 3.85E-008 3.85E-008

    [Leveledu=4.00] 0(b) . . 0 . . . .

    a The reference category is: No Role. b This parameter is set to zero because it is redundant. c Floating point overflow occurred while computing this statistic. Its value is therefore set to system missing.

    From table 6.5 the EXP(B) is 0.933 for ‘High’ group i.e. for each year difference in age, the

    women is 0.933 (7%) times less likely to have ‘high role’ in family savings compared to ‘No

    Role’ Group , similarly, the respondent is 0.931 times less likely to have low role in family

    savings compared to ‘No Role’ Group.

    For Income, the odds ratio (EXP(B)) is 0.654 for group 1( < 5000 Rs per month), i.e. the women

    within the group 2 ( Rs. 5000- Rs.10,000) are 1.52 times (Odds Ratio is 1.52, reciprocal of

    0.654) are more likely to have high role compared to no role and . The women within the group 1

    (

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    The Final Log Likelihood value (-2Log Likelihood) decreases and the significant value of chi-

    square is 0.002 i.e. less than 0.05. So, the Null Hypothesis that there is no significant difference

    between the model without independent variables and the model with independent variables is

    rejected. The existence of a relationship between the dependent and independent variables is

    supported.

    7.1.2 Goodness of Fit:

    Table 7.2

    The significance values of Chi-Square of Table 7.2 for both Pearson and Deviance are >0.05,

    indicating the acceptance of the Null Hypothesis that the model adequately fits the data.

    7.2 Strength of the Multinomial Logistic Regression Relationship:

    7.2.1 Classification Matrix as a measure of Model accuracy:

    Table 7.3

    The Classification table 7.3 indicates that, the overall percentage of accurate predictions is 70%.

    The model gives the better accuracies for the ‘Low’ Role group and ‘No Role’ Group.

    7.2.2 Likelihood Ratio Test:

    Table 7.4

    Model Fitting Information

    139.720

    108.288 31.433 12 .002

    Model

    Intercept Only

    Final

    -2 Log

    Likelihood

    Model

    Fitting

    Criteria

    Chi-Square df Sig.

    Likelihood Ratio Tests

    Goodness-of-Fit

    123.248 130 .650

    92.169 130 .995

    Pearson

    Deviance

    Chi-Square df Sig.

    Classification

    0 2 1 .0%

    0 23 17 57.5%

    0 10 47 82.5%

    .0% 35.0% 65.0% 70.0%

    Observed

    High

    Low

    No Role

    Overall Percentage

    High Low No Role

    Percent

    Correct

    Predicted

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    The Significance value of Chi-Square for Age and Level of Education are less than 0.05, so these

    two explanatory variables have significant effect on the level of family planning. But, Income is

    not statistically significant at 5% level (though significant at 10% level), since the significance

    value of Chi-Square for Income is greater than 0.05 (less that 0.1).

    7.2.3 Identifying the Statistically Significant Predictors:

    Table 7.5

    Parameter Estimates

    Planning(a) B Std. Error Wald df Sig. Exp(B)

    95% Confidence Interval for Exp(B)

    Lower Bound Upper Bound

    High Intercept -38.805 3108.506 .000 1 .990

    Age .111 .107 1.064 1 .302 1.117 .905 1.378

    [Income=1.00] 17.315 3108.504 .000 1 .996 33109894.429 .000 .(b)

    [Income=2.00] 0(c) . . 0 . . . .

    [Leveledu=.00] 13.769 2.047 45.267 1 .000 954757.843 17293.269 52711983.952

    [Leveledu=1.00] -1.740 6196.687 .000 1 1.000 .175 .000 .(b)

    [Leveledu=2.00] 16.180 1.769 83.674 1 .000 10634781.576 332001.098 340657244.878

    [Leveledu=3.00] 17.823 .000 . 1 . 55030877.101 55030877.101 55030877.101

    [Leveledu=4.00] 0(c) . . 0 . . . .

    Low Intercept -2.851 1.635 3.041 1 .081

    Age .109 .039 7.695 1 .006 1.116 1.033 1.205

    [Income=1.00] 1.001 .615 2.644 1 .104 2.720 .814 9.085

    [Income=2.00] 0(c) . . 0 . . . .

    [Leveledu=.00] -3.465 1.405 6.087 1 .014 .031 .002 .490

    [Leveledu=1.00] -1.678 1.386 1.464 1 .226 .187 .012 2.828

    [Leveledu=2.00] -1.062 1.346 .623 1 .430 .346 .025 4.833

    [Leveledu=3.00] -1.316 1.465 .807 1 .369 .268 .015 4.736

    [Leveledu=4.00] 0(c) . . 0 . . . .

    a The reference category is: No Role.

    Likel ihood Ratio Tests

    108.288a .000 0 .

    117.680 9.392 2 .009

    113.736 5.448 2 .066

    132.433 24.145 8 .002

    Ef fect

    Intercept

    Age

    Income

    Leveledu

    -2 Log

    Likelihood of

    Reduced

    Model

    Model Fitting

    Criteria

    Chi-Square df Sig.

    Likelihood Ratio Tests

    The chi-square statistic is the dif f erence in -2 log-likelihoods

    between the f inal model and a reduced model. The reduced

    model is formed by omitting an ef f ect f rom the f inal model. The

    null hypothesis is that all parameters of that ef f ect are 0.

    This reduced model is equivalent to the f inal model

    because omitting the ef f ect does not increase the

    degrees of f reedom.

    a.

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    b Floating point overflow occurred while computing this statistic. Its value is therefore set to system missing. c This parameter is set to zero because it is redundant.

    Log Odds Ratio for Age i.e. EXP(B) for age is 1.117, i.e. for each difference in age, women are

    1.117 times more likely for ‘High’ Role Group compared to ‘No Role’ group and for each

    difference in age women are 1.116 times more likely for ‘Low’ Role Group compared to ‘No

    Role’ Group.

    For educational qualification for ‘High’ Income Group, Group 0(Illiterate) and Group 2(

    Secondary Education) are statistically significant and for ‘Low’ Income Group only Group

    0(Illiterate) is highly significant when we take our reference category as ‘No Role’ Group.

    Having no education (Illiterate: Group 0) make a woman 97% (100%-3%) less likely to choose

    ‘Low’ Role group over ‘No Role’ Group.

    8. Factors affecting the level of Family Expenditure as one dimension of

    women decision making: Multinomial Logistic Regression Analysis

    8.1 Overall Test of the Relationship:

    8.1.1 Model Fitting Information:

    Table 8.1

    Table 8.1 of Model Fitting Information indicates that, the value of -2 Log Likelihood Ratio (LR)

    of Chi-Square decreases for final model against the initial model, when we only consider the

    intercept. Ie. There is a relationship between the dependent variable and independent variables,

    but since the significant value of Chi-Square (Chi-Square is the difference between the -2Log

    Likelihood of the initial Model and the Final Model) is greater than 0.05, so we can say that,

    there is no significant relationship between the dependent variable and independent variables.

    8.1.2 Goodness of Fit:

    Table 8.2

    Table 8.2 indicates that, the model adequately fits the data, since both the values of Chi-Square

    in the table are greater than 0.05.

    8.2 Strength of the Multinomial Logistic Regression Relationship:

    Model Fitting Information

    173.484

    157.552 15.932 12 .194

    Model

    Intercept Only

    Final

    -2 Log

    Likelihood

    Model

    Fitting

    Criteria

    Chi-Square df Sig.

    Likelihood Ratio Tests

    Goodness-of-Fit

    128.118 130 .530

    133.926 130 .389

    Pearson

    Deviance

    Chi-Square df Sig.

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    8.2.1 Likelihood Ratio Test:

    Table 8.3

    The Table 8.3 of the Likelihood Ratio Test shows that, none of the independent variables are significant, since all the significance value of Chi-Square are greater than 0.05. It indicates that,

    there is no significant relationship between any of the independent variables (Age, Income and

    Level of Education) and the dependent variable.

    8.2.2 Estimating the individual Parameter:

    Table 8.4 Parameter Estimates

    Expenditure(a) B Std. Error Wald df Sig. Exp(B) 95% Confidence Interval for Exp(B)

    Lower Bound Upper Bound

    High Intercept -.419 1.856 .051 1 .821

    Age -.008 .043 .035 1 .853 .992 .911 1.080

    [Income=1.00] 1.015 .764 1.766 1 .184 2.760 .618 12.334

    [Income=2.00] 0(b) . . 0 . . . .

    [Leveledu=.00] .268 1.573 .029 1 .865 1.308 .060 28.536

    [Leveledu=1.00] 19.320 1.534 158.715 1 .000 245699683.079 12163814.092 4962944501.598

    [Leveledu=2.00] 2.135 1.678 1.619 1 .203 8.457 .315 226.839

    [Leveledu=3.00] 2.093 1.838 1.296 1 .255 8.105 .221 297.556

    [Leveledu=4.00] 0(b) . . 0 . . . .

    Low Intercept .038 1.884 .000 1 .984

    Age -.026 .045 .344 1 .558 .974 .892 1.063

    [Income=1.00] 1.032 .796 1.679 1 .195 2.806 .589 13.359

    [Income=2.00] 0(b) . . 0 . . . .

    [Leveledu=.00] .355 1.580 .051 1 .822 1.427 .064 31.597

    [Leveledu=1.00] 19.290 .000 . 1 . 238610630.073 238610630.073 238610630.073

    [Leveledu=2.00] 1.531 1.708 .804 1 .370 4.624 .163 131.361

    [Leveledu=3.00] 1.064 1.932 .303 1 .582 2.898 .066 127.749

    [Leveledu=4.00] 0(b) . . 0 . . . .

    Likel ihood Ratio Tests

    157.552a .000 0 .

    158.008 .457 2 .796

    159.538 1.986 2 .370

    172.417 14.865 8 .062

    Ef fect

    Intercept

    Age

    Income

    Leveledu

    -2 Log

    Likelihood of

    Reduced

    Model

    Model Fitting

    Criteria

    Chi-Square df Sig.

    Likelihood Ratio Tests

    The chi-square statistic is the dif f erence in -2 log-likelihoods

    between the f inal model and a reduced model. The reduced

    model is formed by omitting an ef f ect f rom the f inal model. The

    null hypothesis is that all parameters of that ef f ect are 0.

    This reduced model is equivalent to the f inal model

    because omitting the ef f ect does not increase the

    degrees of f reedom.

    a.

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    a The reference category is: No Role. b This parameter is set to zero because it is redundant.

    The interpretation of the table 8.4 is that, having a Primary Educational Degree makes a woman

    245699683 times more likely to choose ‘High’ Role group over ‘No Role’ Group.

    9. Factors affecting the level of Family Expenditure as one dimension of

    women decision making: Multinomial Logistic Regression Analysis 9.1 Overall Test of the Relationship:

    9.1.1 Model Fitting Information:

    Table 9.1

    The Model Fitting Information Table (Table 9.1) indicates that, though there is a relationship

    between the dependent variable and the independent variables since the -2Log Likelihood Ratio

    decreases in case of final Model from the model with intercept only. But this relationship is not

    significant, since the significance value of Chi-Square is greater than 0.05.

    9.1.2 Model Fitting Information:

    Table 9.2

    The significance value of Pearson Chi-Square Test Statistic is 0.026, which is less than 0.05, so

    the model does not adequately fit with the given data.

    9.2 Strength of the Multinomial Logistic Regression Relationship:

    9.2.1 Likelihood Ratio Test:

    Table 9.3

    Model Fitting Information

    155.313

    148.607 6.705 12 .876

    Model

    Intercept Only

    Final

    -2 Log

    Likelihood

    Model

    Fitting

    Criteria

    Chi-Square df Sig.

    Likelihood Ratio Tests

    Goodness-of-Fit

    163.204 130 .026

    133.639 130 .396

    Pearson

    Deviance

    Chi-Square df Sig.

    Likel ihood Ratio Tests

    148.607a .000 0 .

    148.712 .105 2 .949

    148.793 .186 2 .911

    155.221 6.614 8 .579

    Ef fect

    Intercept

    Age

    Income

    Leveledu

    -2 Log

    Likelihood of

    Reduced

    Model

    Model Fitting

    Criteria

    Chi-Square df Sig.

    Likelihood Ratio Tests

    The chi-square statistic is the dif f erence in -2 log-likelihoods

    between the f inal model and a reduced model. The reduced

    model is formed by omitting an ef f ect f rom the f inal model. The

    null hypothesis is that all parameters of that ef f ect are 0.

    This reduced model is equivalent to the f inal model

    because omitting the ef f ect does not increase the

    degrees of f reedom.

    a.

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    Likelihood Ratio Tests indicate that, none of the independent variables are statistically

    significant at 5% level of significance.

    9.2.2 Parameter estimation:

    Table 9.3 Parameter Estimates

    Healthcare(a) B Std. Error Wald df Sig. Exp(B)

    95% Confidence Interval for Exp(B)

    Lower Bound Upper Bound

    High Intercept -.236 1.859 .016 1 .899

    Age .014 .045 .105 1 .746 1.015 .929 1.108

    [Income=1.00] -.213 .794 .072 1 .788 .808 .170 3.829

    [Income=2.00] 0(b) . . 0 . . . .

    [Leveledu=.00] -1.302 1.561 .696 1 .404 .272 .013 5.793

    [Leveledu=1.00] -2.770 1.815 2.328 1 .127 .063 .002 2.199

    [Leveledu=2.00] -2.325 1.649 1.989 1 .158 .098 .004 2.476

    [Leveledu=3.00] -2.047 1.796 1.298 1 .255 .129 .004 4.365

    [Leveledu=4.00] 0(b) . . 0 . . . .

    Low Intercept .087 1.723 .003 1 .960

    Age .003 .037 .007 1 .932 1.003 .933 1.078

    [Income=1.00] -.251 .640 .153 1 .695 .778 .222 2.730

    [Income=2.00] 0(b) . . 0 . . . .

    [Leveledu=.00] -.761 1.513 .253 1 .615 .467 .024 9.061

    [Leveledu=1.00] -1.551 1.596 .944 1 .331 .212 .009 4.841

    [Leveledu=2.00] -1.537 1.552 .980 1 .322 .215 .010 4.506

    [Leveledu=3.00] -2.020 1.789 1.274 1 .259 .133 .004 4.427

    [Leveledu=4.00] 0(b) . . 0 . . . .

    a. The reference category is: No Role.

    The interpretation of the table 9.3 is that, increases in age of women make 1.015 times more

    likely to have high role in Healthcare over No Role Group. Similarly, increases in age of women

    make 1.003 times more likely to have Low Role in Decision making of Health care over ‘No

    Role’ Group.

    Women within the income Group 1 (Monthly Income Rs.

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    determinants of Women Empowerment and also have tried to find out the various factors

    responsible for taking a role in household Decision making among women.

    We have applied the Multinomial Logistic Regression (MLR) Model that best explains the

    Decision making Progress in household based on the data collected from the women of Kolkata

    Municipal Corporation Slum areas.

    In this study we have shown that, level of education of women have significant effect on

    decision in level of savings and family planning (The significance value of Chi-Square is less

    than 0.05), whereas, level of education has no significant effect on decision in family

    expenditure and Healthcare (the significance value of Chi-Square is greater than 0.05). Age is a

    significant determinant in decision of family planning but age of a woman does not play any

    significant role in taking decision in family savings, family expenditure and Healthcare

    expenditure. But income does not play any significant role in any one of the four dimensions of

    family decision making progress within the household among woman.

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