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Maternal Education & Child Care:
       Two way ANOVA




           Source: Babu and Sanyal (2009)   1
Child Malnutrition
• Causes:
  Inadequate food, health, lack of sanitation facilities,
   high fertility rates, ignorance about child-care
   practices and lack of access to health services.
  Poor water, sanitation and hygiene account for 16
   per cent of deaths of children under 5 globally WHO
   (2005).
  Understanding the causes and context of
   malnutrition is important in devising strategies that
   generate better child health and nutritional
   outcomes.

                     Maternal Education & Child Care         2
Importance of Mother’s Education
• Caldwell (1979): Education of women played an
  important role in determining child survival even
  after controlling for other socioeconomic
  characteristics.
• Mother’s education can enhance child survival :
  Implementation of health knowledge, an increased
  capability to interact in the modern world and
  greater control over health choices for her children.



                    Maternal Education & Child Care       3
Issue
• Policy and program formulation:
    How various determinants of child malnutrition
     contribute independently and interact with each other in
     determining the final outcomes.
    Formal education of the mother may increase the care
     practices through knowledge.
    Educated mothers are also time constrained due to their
     participation in labor markets and illiterate care-givers
     may have time but may have indigenous (or primitive)
     child survival practices.
    Understanding the interaction of such related variables
     has been a policy and programmatic challenge since such
     interactions are usually cultural and context specific.

                       Maternal Education & Child Care           4
Method: Two-way ANOVA
• Verify impact of maternal education and child-care on
  children’s nutritional status as measured by height for age
  (HAZ) and weight for height (WHZ) Z-scores, using a two-
  way ANOVA approach.
• Advantage: Permits verification of “interaction
  effect”, simultaneous assessment of the effects of two
  (or more) independent variables on a single dependent
  variable and the possible combined effects of the
  independent variables on the dependent variable.
• Current Context: Effect of one factor (for
  example, maternal education) depends on the level of the
  second factor (child-care).


                       Maternal Education & Child Care          5
Conceptual Framework




      Maternal Education & Child Care   6
Conceptual Framework
• Better educated women:
    Knowledgeable about health care
    If exposed to new information, assimilate this improved knowledge
     into better care practices than women with lesser education; become
     aware of health services (such as health center facilities and
     availability of doctors) and generate additional nutritional
     knowledge (such as immunization of children against diseases, taking
     appropriate actions on incidence of infant diarrhea, feeding the child
     during sickness and breastfeeding during early childhood).
    Such good care practices can, in turn, improve the nutritional status
     of children.
    Better health care practices are especially relevant for less educated
     mothers, for mothers with more dependents and for children from
     households with limited resources, poor housing conditions and lack
     of access to hygiene and sanitation services.



                           Maternal Education & Child Care                7
Conceptual and measurement issues on
             child-care




             Maternal Education & Child Care   8
Conceptual and measurement issues
            on child-care
• Child survival, nutrition and health = f(household
  food security, a healthy environment, available
  health services, care provided to women and
  children).
• Care = ‘the provision in the household and the
  community of time, attention and support to meet
  the physical, mental, and social needs of the
  growing child and other household members’.



                    Maternal Education & Child Care    9
Conceptual and measurement issues
            on child-care
Care (Engle et al., 1999):
1. Care for pregnant and lactating women
2. Breastfeeding and complementary feeding of
  young children
3. Food preparation and food storage behaviors
4. Hygiene behaviors
5. Care for children during illness

                 Maternal Education & Child Care   10
Conceptual and measurement issues
            on child-care
Resources for care:
1. Education, knowledge, and beliefs
2. Health and nutritional status of the care-giver
3. Mental health, lack of stress, and self-
   confidence of the care-giver
4. Control of resources and intrahousehold
   allocation
5. Workload and time constraints
6. Social support from family members and the
   community.

                   Maternal Education & Child Care   11
Measurement issues
•   Care = time spent (quantity of care) and the nature of the activities undertaken
    (quality of care).
•    ‘time spent on care’ method: Time spent in specific activities with children (such as
    bathing, feeding, etc.) along with other activities of the household. Most of the
    studies do not find any significant association between child-care time and nutritional
    status; may not be a good indicator of nutritional status.
•   ‘quality of care’ approach: Determines how specific practices lead to better nutritional
    outcomes for children; classified into caregiver and psychosocial care practices –
    former affects child’s nutrient intake through psychomotor capabilities (such as use of
    finger foods, spoon handling ability, etc.) and appetite (Engle et al., 1999).
•   Additionally, the care-giver’s ability to feed responsively may include encouraging the
    child to eat, offering additional foods, responding to poor appetite and using a
    positive style of interaction with the child.
•   Some studies in developing countries have also found a strong association between
    specific feeding behaviors (such as location of feeding, organization of feeding event)
    with mothers’ educational status (Guldan et al., 1993). Psychosocial care, on the other
    hand, refers to the provision of affection and warmth, responsiveness to the child
    and the encouragement of autonomy and exploration (Engle et al., 1999). Culture
    plays a central role in psychosocial care.




                                  Maternal Education & Child Care                         12
Empirical Analysis
• Interface of maternal education, child care and child
• The two-way ANOVA: Determines if there are overall
  differences in weight for height Z-scores (ZWH) between
  different educational levels of the mother, between
  varying levels of child-care and whether there is an
  interaction effect of educational level and child-care on
  improving child nutritional status .
• The interaction effect can be thought of as saying that the
  effect of one factor (e.g. educational level) depends on
  the level of the second factor (e.g. child-care). For
  example, it may be the case that higher educated women
  provide better child-care than lower educated women.


                       Maternal Education & Child Care      13
Analysis
• Educational level effect:
• H0: mean weight for height Z-scores do not differ by
  educational levels of the mother.
• H1: mean weight for height Z-scores differ by
  educational levels of the mother.




                    Maternal Education & Child Care   14
Analysis
• Care effect:
• H0 : mean weight for height Z-scores do not differ by
  care levels by the mother.
• H01: mean weight for height Z-scores differ by care
  levels by the mother.




                    Maternal Education & Child Care   15
Analysis
• Interaction effect:
• H0 : there is no interaction between educational
  levels and care levels.
• H1: there is an interaction between educational
  levels and care levels.




                    Maternal Education & Child Care   16
Data Description
• Dependent variable: weight for height Z-
  scores, which is a measure of short-term child
  nutritional status.
• Define a transformation such that:
 ZWHNEW = 1 if ZWH ≥ -2 (normal Z scores) and = 0
  if ZWH < -2 (low Z scores).
 Value of 1 indicates no wasting, while a value of 0
  indicates wasting.


                   Maternal Education & Child Care   17
Data Description
• Education of the spouse (EDUCSPOUS):
  A categorical variable, the value of which ranges
   from 1 to 7.
  Measures the education level of the spouse (or
   mother) in number of years. (In the case of female-
   headed households in the two-way ANOVA analysis,
   we separate out females who are heads of the
   household and thus are not the spouse of a male-
   headed household.) For example, the variable
   attains a value of 5 if the spouse completed
   secondary education.
  Higher values indicate more number of years in
   schooling.
                   Maternal Education & Child Care   18
Data Description
• Child-care index (CARE):
    F(variables related to child-feeding practices (such as
     breastfeeding and feeding the child during sickness) and
     preventive health seeking behavior (whether the child was
     immunized).
    The index ranged on a continuous scale from -1 to +1, with -1
     denoting poor child-care practices and +1 denoting good care
     practices.
    For age groups where a particular practice (such as
     breastfeeding for children above 24 months of age and
     compulsory immunization to children below 9 months) is not
     likely to improve the growth of children, the component was
     assigned a value of 0 implying a neutral effect. The index was
     made age specific for each age group.


                         Maternal Education & Child Care              19
Table 7.1 Prevalence of stunting by
          mothers’ educational level

                                                 ZHANEW

                                       Low                     Normal   Total

            No education                41                       50      91

            Adult literacy               1                       6        7
EDUCSPOUS
            Std 1–4                     14                       19      33

            Std 5–8                     24                       29      53

            Total                       80                      104     184 =n




                             Maternal Education & Child Care                     20
Prevalence of stunting by mother’s
         education level
 No marked differences in the prevalence of stunting
  between non-educated and educated women.
 For example, for mothers with no education, the
  prevalence of stunting is 51.3 per cent relative to the
  presence of normal children of 48.1 per cent.
 For some level of educational attainment of the mother
  (std 5–8) which in this sample is the highest educational
  attainment, the prevalence of stunting is 30 per cent
  relative to no prevalence (or normal children) of only 27.9
  per cent. The p value is 0.457 and, as the significance
  level is greater than 0.1, the null hypothesis cannot be
  rejected at the 10 per cent level. Thus, we can conclude
  that there is no significant difference in prevalence of
  stunting between educated and non-educated mothers.

                    Maternal Education & Child Care        21
Table 7.2 Prevalence of wasting by
        mothers’ educational level
                                                   ZWHNEW

                                          Low                  Normal   Total

            No education                   15                    84      99

                                        78.90%                 47.50%

            Adult literacy                 2                     5        7

                                        10.50%                 2.80%
EDUCSPOUS
            Std 1–4                        0                     35      35

                                         0.00%                 19.80%

            Std 5–8                        2                     53      55

                                        10.50%                 29.90%

            Total                          19                   177     196=n



                             Maternal Education & Child Care                    22
Prevalence of wasting by mothers’
        educational level
 Significant differences in the prevalence of wasting between
  non-educated and educated women. For mothers with no
  education, the prevalence of wasting is almost 79 per cent
  compared to non-prevalence (47.5 per cent). Thus, it would
  appear that short-term nutritional status is significantly
  influenced by mothers’ educational level.
 As educational level increases, there is much less prevalence of
  wasting. P value from the Pearson chi-square statistic is 0.006
  and since it is less than 0.1, the null hypothesis that there is no
  difference between wasting among uneducated and educated
  mothers can be rejected.
 Educational level matters for short-term nutritional status. In
  the next section, we investigate the role of mothers’ education
  and child-care on weight for height Z-scores using a two-way
  ANOVA approach.


                       Maternal Education & Child Care             23
Two-way ANOVA results
• Three different statistical tests:
1. Main effect of educational level of the spouse.
2. Main effect of care levels by terciles of care.
3. Interaction effects between educational level of the
   spouse and care levels.




                    Maternal Education & Child Care   24
Definition of main effect
• This is the effect of one independent variable on the
  dependent variable across the levels of the other
  independent variable.
• Issue:
• Verify if there is a difference in the mean weight for height
  Z-scores by the educational levels of the mother averaging
  over the child-care levels. In other words, ignoring the
  effect of child-care levels, do weight for height Z-scores
  differ between educated and non-educated mothers?
• Verify if there is a difference in weight for height Z-scores
  by child-care terciles ignoring the educational levels of the
  mother. One way to understand the main effect is to
  examine the marginal means.

                       Maternal Education & Child Care       25
Table 7.3 Effect of mothers’ education on
                 ZWHNEW
 EDUCSPOUS                                                   Mean


 No education                                                0.844


 Adult literacy training                                     0.75


 Std 1–4                                                      1


 Std 5–8                                                     0.961




                           Maternal Education & Child Care           26
Effect of mothers’ education on ZWHNEW

• Mean performance on weight for height Z-
  scores is greater for mothers with some
  educational level relative to mothers with no
  education.
• Do the marginal means differ?




                 Maternal Education & Child Care   27
Table 7.4 Effect of child-care on ZWHNEW


          NCARE                                     Mean


            1                                       0.842


            2                                       0.974


            3                                       0.884




                  Maternal Education & Child Care           28
Effect of child-care on ZWHNEW
  Mean weight for height Z-scores is highest for
   mothers in the medium care tercile (0.974) followed
   by the upper care tercile.
  As care behavior improves (such as breastfeeding
   children below 2 years of age), nutritional status of
   children improves after controlling for educational
   level of the mother.

• Issue: If the marginal means among the various
  child-care terciles differ
• Ans: Calculate the sum of squares.
                    Maternal Education & Child Care        29
Variance partitioning for two-way ANOVA




              Maternal Education & Child Care   30
Between Sum of Squares

• SSB = Squares of mothers’ educational level
  SS (EDUCSPOUS) + Sum of squares of terciles
  of child-care SS (NCARE) + Sum of squares of
  the interaction SS (interaction).




                 Maternal Education & Child Care   31
Sum of Square of the Interaction Term




             Maternal Education & Child Care   32
Two-way ANOVA model




     Maternal Education & Child Care   33
Two-way ANOVA model

•   The left-hand side of equation (7.5) is the total sum of
    squares, while the right hand side consists of SSB and SSW.
•   The first three terms on the right hand are the sum of
    squares of factor A, factor B and the interaction term, while
    the last expression denotes the sum of squares of the error
    term or the sum of squares within.
•    After dividing the relevant expressions by the degrees of
    freedom, we obtain the mean square expressions.
•   The corresponding F ratios are obtained by dividing the
    mean square of factor A, factor B and the interaction term
    (A*B) by the mean square error.

                        Maternal Education & Child Care        34
Table 7.5 ANOVA table for an a*b factorial
               experiment

Source               SS                             df                  MS

Factor A            SS(A)                          (a-1)        MS(A) =SS(A)/(a 1)

Factor B            SS(B)                         (b-1)        MS(B) = SS(B)/(b 1)

                                                             MS(AB) = SS(AB)/(a -1)(b -
Interaction AB      SS(AB)                      (a-1)(b-1)
                                                                        1)

Error               SSW                           (N-ab)           SSW/(N -ab)

Total (corrected)    TSS                          (N-1)




                       Maternal Education & Child Care                               35
ANOVA Results
• Main effect of mothers’ education on weight for
  height Z-score: F-value = 4.085 (p-value = 0.008)
• Reject null hypothesis that mean weight for
  height Z-scores do not differ by educational
  levels of the mother. Thus, education of the
  mother has a significant influence on weight for
  height Z-scores.
• Inference: There is a significant difference in the
  mean weight for height Z-scores between
  educated and non-educated mothers ignoring
  the impact of child-care.

                    Maternal Education & Child Care   36
ANOVA Results
• Main effect of child-care terciles on weight
  for height Z-score: F-value = 3.056 (p = 0.049)
• Reject the null hypothesis that the mean
  weight for height Z-scores do not differ by
  care levels of the mother and thus child-care
  levels have a significant impact on weight for
  height Z-scores after ignoring the impact of
  mothers’ education.

                  Maternal Education & Child Care   37
Table 7.6 Tests of between subject effects:
       dependent variable ZWHNEW
                  Type III sum of
        Source                           df            Mean square               F      P value
                     squares


SSB                   2.187              10                0.218               2.691    0.003

Intercept             64.330             1                 64.330             798.914   0.000

EDUCSPOUS             0.987              3                 0.329               4.085    0.008

NCARE                 0.492              2                 0.246               3.056    0.049

EDUCSPOUS*NCARE       0.708              6                 0.118               1.468    0.202

SSW                   14.971            185                0.081

TSS                   17.158            195
                            R squared = 0.132 (adjusted R squared = 0.085).


                                     Maternal Education & Child Care                              38
Interaction effect and post-hoc tests
• Issue: There are more than two means; which means (if any) are
  significantly different.
• Four educational levels of the mother and three child-care levels.
• Table 7.6: Overall interaction effect (EDUCSPOUS*NCARE) is not
  significant.
• Still there may be significant differences among the means of
  mothers’ educational levels and child-care, i.e., there may be
  differences among combinations of education levels and child-
  care terciles.
• Post-hoc tests are used when the researcher is exploring
  differences among group means, otherwise the likelihood of type
  1 errors increases.
• Illustration with reference to educational level of the mother and
  childcare terciles.
                         Maternal Education & Child Care           39
Results
• Mothers with more education relative to mothers with no
  education practice greater child-care.
• The simple post-hoc analysis compares a given pair of means. If
  they are significantly different (p < 0.05), different letters are
  placed next to these means to indicate that they are significantly
  different.
• For the same level of child-care, higher education among mothers
  (elementary schooling) improves short-term nutritional status as
  measured by weight for height Z-scores.
• For a given level of education (no education or some elementary
  schooling), mothers in the second child-care tercile perform better
  than ones in the highest care tercile = Impact of positive child-care
  practices improves short-term nutritional status for households in
  the lower socioeconomic terciles compared to the upper
  socioeconomic terciles.

                          Maternal Education & Child Care            40
Table 7.7 Multiple comparison test


                                       EDUCSPOUS


                                      No education     Std 1–4
NCARE
                 2                        0.929 a      1.00 b

                 3                        0.735 c      1.00 d




                     Maternal Education & Child Care             41

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Topic 14 maternal education

  • 1. Maternal Education & Child Care: Two way ANOVA Source: Babu and Sanyal (2009) 1
  • 2. Child Malnutrition • Causes: Inadequate food, health, lack of sanitation facilities, high fertility rates, ignorance about child-care practices and lack of access to health services. Poor water, sanitation and hygiene account for 16 per cent of deaths of children under 5 globally WHO (2005). Understanding the causes and context of malnutrition is important in devising strategies that generate better child health and nutritional outcomes. Maternal Education & Child Care 2
  • 3. Importance of Mother’s Education • Caldwell (1979): Education of women played an important role in determining child survival even after controlling for other socioeconomic characteristics. • Mother’s education can enhance child survival : Implementation of health knowledge, an increased capability to interact in the modern world and greater control over health choices for her children. Maternal Education & Child Care 3
  • 4. Issue • Policy and program formulation:  How various determinants of child malnutrition contribute independently and interact with each other in determining the final outcomes.  Formal education of the mother may increase the care practices through knowledge.  Educated mothers are also time constrained due to their participation in labor markets and illiterate care-givers may have time but may have indigenous (or primitive) child survival practices.  Understanding the interaction of such related variables has been a policy and programmatic challenge since such interactions are usually cultural and context specific. Maternal Education & Child Care 4
  • 5. Method: Two-way ANOVA • Verify impact of maternal education and child-care on children’s nutritional status as measured by height for age (HAZ) and weight for height (WHZ) Z-scores, using a two- way ANOVA approach. • Advantage: Permits verification of “interaction effect”, simultaneous assessment of the effects of two (or more) independent variables on a single dependent variable and the possible combined effects of the independent variables on the dependent variable. • Current Context: Effect of one factor (for example, maternal education) depends on the level of the second factor (child-care). Maternal Education & Child Care 5
  • 6. Conceptual Framework Maternal Education & Child Care 6
  • 7. Conceptual Framework • Better educated women:  Knowledgeable about health care  If exposed to new information, assimilate this improved knowledge into better care practices than women with lesser education; become aware of health services (such as health center facilities and availability of doctors) and generate additional nutritional knowledge (such as immunization of children against diseases, taking appropriate actions on incidence of infant diarrhea, feeding the child during sickness and breastfeeding during early childhood).  Such good care practices can, in turn, improve the nutritional status of children.  Better health care practices are especially relevant for less educated mothers, for mothers with more dependents and for children from households with limited resources, poor housing conditions and lack of access to hygiene and sanitation services. Maternal Education & Child Care 7
  • 8. Conceptual and measurement issues on child-care Maternal Education & Child Care 8
  • 9. Conceptual and measurement issues on child-care • Child survival, nutrition and health = f(household food security, a healthy environment, available health services, care provided to women and children). • Care = ‘the provision in the household and the community of time, attention and support to meet the physical, mental, and social needs of the growing child and other household members’. Maternal Education & Child Care 9
  • 10. Conceptual and measurement issues on child-care Care (Engle et al., 1999): 1. Care for pregnant and lactating women 2. Breastfeeding and complementary feeding of young children 3. Food preparation and food storage behaviors 4. Hygiene behaviors 5. Care for children during illness Maternal Education & Child Care 10
  • 11. Conceptual and measurement issues on child-care Resources for care: 1. Education, knowledge, and beliefs 2. Health and nutritional status of the care-giver 3. Mental health, lack of stress, and self- confidence of the care-giver 4. Control of resources and intrahousehold allocation 5. Workload and time constraints 6. Social support from family members and the community. Maternal Education & Child Care 11
  • 12. Measurement issues • Care = time spent (quantity of care) and the nature of the activities undertaken (quality of care). • ‘time spent on care’ method: Time spent in specific activities with children (such as bathing, feeding, etc.) along with other activities of the household. Most of the studies do not find any significant association between child-care time and nutritional status; may not be a good indicator of nutritional status. • ‘quality of care’ approach: Determines how specific practices lead to better nutritional outcomes for children; classified into caregiver and psychosocial care practices – former affects child’s nutrient intake through psychomotor capabilities (such as use of finger foods, spoon handling ability, etc.) and appetite (Engle et al., 1999). • Additionally, the care-giver’s ability to feed responsively may include encouraging the child to eat, offering additional foods, responding to poor appetite and using a positive style of interaction with the child. • Some studies in developing countries have also found a strong association between specific feeding behaviors (such as location of feeding, organization of feeding event) with mothers’ educational status (Guldan et al., 1993). Psychosocial care, on the other hand, refers to the provision of affection and warmth, responsiveness to the child and the encouragement of autonomy and exploration (Engle et al., 1999). Culture plays a central role in psychosocial care. Maternal Education & Child Care 12
  • 13. Empirical Analysis • Interface of maternal education, child care and child • The two-way ANOVA: Determines if there are overall differences in weight for height Z-scores (ZWH) between different educational levels of the mother, between varying levels of child-care and whether there is an interaction effect of educational level and child-care on improving child nutritional status . • The interaction effect can be thought of as saying that the effect of one factor (e.g. educational level) depends on the level of the second factor (e.g. child-care). For example, it may be the case that higher educated women provide better child-care than lower educated women. Maternal Education & Child Care 13
  • 14. Analysis • Educational level effect: • H0: mean weight for height Z-scores do not differ by educational levels of the mother. • H1: mean weight for height Z-scores differ by educational levels of the mother. Maternal Education & Child Care 14
  • 15. Analysis • Care effect: • H0 : mean weight for height Z-scores do not differ by care levels by the mother. • H01: mean weight for height Z-scores differ by care levels by the mother. Maternal Education & Child Care 15
  • 16. Analysis • Interaction effect: • H0 : there is no interaction between educational levels and care levels. • H1: there is an interaction between educational levels and care levels. Maternal Education & Child Care 16
  • 17. Data Description • Dependent variable: weight for height Z- scores, which is a measure of short-term child nutritional status. • Define a transformation such that:  ZWHNEW = 1 if ZWH ≥ -2 (normal Z scores) and = 0 if ZWH < -2 (low Z scores).  Value of 1 indicates no wasting, while a value of 0 indicates wasting. Maternal Education & Child Care 17
  • 18. Data Description • Education of the spouse (EDUCSPOUS): A categorical variable, the value of which ranges from 1 to 7. Measures the education level of the spouse (or mother) in number of years. (In the case of female- headed households in the two-way ANOVA analysis, we separate out females who are heads of the household and thus are not the spouse of a male- headed household.) For example, the variable attains a value of 5 if the spouse completed secondary education. Higher values indicate more number of years in schooling. Maternal Education & Child Care 18
  • 19. Data Description • Child-care index (CARE):  F(variables related to child-feeding practices (such as breastfeeding and feeding the child during sickness) and preventive health seeking behavior (whether the child was immunized).  The index ranged on a continuous scale from -1 to +1, with -1 denoting poor child-care practices and +1 denoting good care practices.  For age groups where a particular practice (such as breastfeeding for children above 24 months of age and compulsory immunization to children below 9 months) is not likely to improve the growth of children, the component was assigned a value of 0 implying a neutral effect. The index was made age specific for each age group. Maternal Education & Child Care 19
  • 20. Table 7.1 Prevalence of stunting by mothers’ educational level ZHANEW Low Normal Total No education 41 50 91 Adult literacy 1 6 7 EDUCSPOUS Std 1–4 14 19 33 Std 5–8 24 29 53 Total 80 104 184 =n Maternal Education & Child Care 20
  • 21. Prevalence of stunting by mother’s education level  No marked differences in the prevalence of stunting between non-educated and educated women.  For example, for mothers with no education, the prevalence of stunting is 51.3 per cent relative to the presence of normal children of 48.1 per cent.  For some level of educational attainment of the mother (std 5–8) which in this sample is the highest educational attainment, the prevalence of stunting is 30 per cent relative to no prevalence (or normal children) of only 27.9 per cent. The p value is 0.457 and, as the significance level is greater than 0.1, the null hypothesis cannot be rejected at the 10 per cent level. Thus, we can conclude that there is no significant difference in prevalence of stunting between educated and non-educated mothers. Maternal Education & Child Care 21
  • 22. Table 7.2 Prevalence of wasting by mothers’ educational level ZWHNEW Low Normal Total No education 15 84 99 78.90% 47.50% Adult literacy 2 5 7 10.50% 2.80% EDUCSPOUS Std 1–4 0 35 35 0.00% 19.80% Std 5–8 2 53 55 10.50% 29.90% Total 19 177 196=n Maternal Education & Child Care 22
  • 23. Prevalence of wasting by mothers’ educational level  Significant differences in the prevalence of wasting between non-educated and educated women. For mothers with no education, the prevalence of wasting is almost 79 per cent compared to non-prevalence (47.5 per cent). Thus, it would appear that short-term nutritional status is significantly influenced by mothers’ educational level.  As educational level increases, there is much less prevalence of wasting. P value from the Pearson chi-square statistic is 0.006 and since it is less than 0.1, the null hypothesis that there is no difference between wasting among uneducated and educated mothers can be rejected.  Educational level matters for short-term nutritional status. In the next section, we investigate the role of mothers’ education and child-care on weight for height Z-scores using a two-way ANOVA approach. Maternal Education & Child Care 23
  • 24. Two-way ANOVA results • Three different statistical tests: 1. Main effect of educational level of the spouse. 2. Main effect of care levels by terciles of care. 3. Interaction effects between educational level of the spouse and care levels. Maternal Education & Child Care 24
  • 25. Definition of main effect • This is the effect of one independent variable on the dependent variable across the levels of the other independent variable. • Issue: • Verify if there is a difference in the mean weight for height Z-scores by the educational levels of the mother averaging over the child-care levels. In other words, ignoring the effect of child-care levels, do weight for height Z-scores differ between educated and non-educated mothers? • Verify if there is a difference in weight for height Z-scores by child-care terciles ignoring the educational levels of the mother. One way to understand the main effect is to examine the marginal means. Maternal Education & Child Care 25
  • 26. Table 7.3 Effect of mothers’ education on ZWHNEW EDUCSPOUS Mean No education 0.844 Adult literacy training 0.75 Std 1–4 1 Std 5–8 0.961 Maternal Education & Child Care 26
  • 27. Effect of mothers’ education on ZWHNEW • Mean performance on weight for height Z- scores is greater for mothers with some educational level relative to mothers with no education. • Do the marginal means differ? Maternal Education & Child Care 27
  • 28. Table 7.4 Effect of child-care on ZWHNEW NCARE Mean 1 0.842 2 0.974 3 0.884 Maternal Education & Child Care 28
  • 29. Effect of child-care on ZWHNEW Mean weight for height Z-scores is highest for mothers in the medium care tercile (0.974) followed by the upper care tercile. As care behavior improves (such as breastfeeding children below 2 years of age), nutritional status of children improves after controlling for educational level of the mother. • Issue: If the marginal means among the various child-care terciles differ • Ans: Calculate the sum of squares. Maternal Education & Child Care 29
  • 30. Variance partitioning for two-way ANOVA Maternal Education & Child Care 30
  • 31. Between Sum of Squares • SSB = Squares of mothers’ educational level SS (EDUCSPOUS) + Sum of squares of terciles of child-care SS (NCARE) + Sum of squares of the interaction SS (interaction). Maternal Education & Child Care 31
  • 32. Sum of Square of the Interaction Term Maternal Education & Child Care 32
  • 33. Two-way ANOVA model Maternal Education & Child Care 33
  • 34. Two-way ANOVA model • The left-hand side of equation (7.5) is the total sum of squares, while the right hand side consists of SSB and SSW. • The first three terms on the right hand are the sum of squares of factor A, factor B and the interaction term, while the last expression denotes the sum of squares of the error term or the sum of squares within. • After dividing the relevant expressions by the degrees of freedom, we obtain the mean square expressions. • The corresponding F ratios are obtained by dividing the mean square of factor A, factor B and the interaction term (A*B) by the mean square error. Maternal Education & Child Care 34
  • 35. Table 7.5 ANOVA table for an a*b factorial experiment Source SS df MS Factor A SS(A) (a-1) MS(A) =SS(A)/(a 1) Factor B SS(B) (b-1) MS(B) = SS(B)/(b 1) MS(AB) = SS(AB)/(a -1)(b - Interaction AB SS(AB) (a-1)(b-1) 1) Error SSW (N-ab) SSW/(N -ab) Total (corrected) TSS (N-1) Maternal Education & Child Care 35
  • 36. ANOVA Results • Main effect of mothers’ education on weight for height Z-score: F-value = 4.085 (p-value = 0.008) • Reject null hypothesis that mean weight for height Z-scores do not differ by educational levels of the mother. Thus, education of the mother has a significant influence on weight for height Z-scores. • Inference: There is a significant difference in the mean weight for height Z-scores between educated and non-educated mothers ignoring the impact of child-care. Maternal Education & Child Care 36
  • 37. ANOVA Results • Main effect of child-care terciles on weight for height Z-score: F-value = 3.056 (p = 0.049) • Reject the null hypothesis that the mean weight for height Z-scores do not differ by care levels of the mother and thus child-care levels have a significant impact on weight for height Z-scores after ignoring the impact of mothers’ education. Maternal Education & Child Care 37
  • 38. Table 7.6 Tests of between subject effects: dependent variable ZWHNEW Type III sum of Source df Mean square F P value squares SSB 2.187 10 0.218 2.691 0.003 Intercept 64.330 1 64.330 798.914 0.000 EDUCSPOUS 0.987 3 0.329 4.085 0.008 NCARE 0.492 2 0.246 3.056 0.049 EDUCSPOUS*NCARE 0.708 6 0.118 1.468 0.202 SSW 14.971 185 0.081 TSS 17.158 195 R squared = 0.132 (adjusted R squared = 0.085). Maternal Education & Child Care 38
  • 39. Interaction effect and post-hoc tests • Issue: There are more than two means; which means (if any) are significantly different. • Four educational levels of the mother and three child-care levels. • Table 7.6: Overall interaction effect (EDUCSPOUS*NCARE) is not significant. • Still there may be significant differences among the means of mothers’ educational levels and child-care, i.e., there may be differences among combinations of education levels and child- care terciles. • Post-hoc tests are used when the researcher is exploring differences among group means, otherwise the likelihood of type 1 errors increases. • Illustration with reference to educational level of the mother and childcare terciles. Maternal Education & Child Care 39
  • 40. Results • Mothers with more education relative to mothers with no education practice greater child-care. • The simple post-hoc analysis compares a given pair of means. If they are significantly different (p < 0.05), different letters are placed next to these means to indicate that they are significantly different. • For the same level of child-care, higher education among mothers (elementary schooling) improves short-term nutritional status as measured by weight for height Z-scores. • For a given level of education (no education or some elementary schooling), mothers in the second child-care tercile perform better than ones in the highest care tercile = Impact of positive child-care practices improves short-term nutritional status for households in the lower socioeconomic terciles compared to the upper socioeconomic terciles. Maternal Education & Child Care 40
  • 41. Table 7.7 Multiple comparison test EDUCSPOUS No education Std 1–4 NCARE 2 0.929 a 1.00 b 3 0.735 c 1.00 d Maternal Education & Child Care 41