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Multivariate Ratio and Exponential Estimators for Population Variance in Two-Phase Sampling Using Multi-Auxiliary Variables

Thesis Info

Access Option

External Link

Author

Amber Asghar

Program

PhD

Institute

National College of Business Administration and Economics

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Subject

Statistics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/12691/1/Amber%20Asghar_Stat_2018_NCBAE_PRR.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726736380

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In this dissertation, multivariate ratio and regression-cum-exponential type estimators have been proposed for estimating the finite population variance using the multi-auxiliary variables under two-phase sampling scheme. In Chapter 1, the discussion about the use of auxiliary information, twophase sampling procedure, variance estimation is given. The literature related to the use of multi-auxiliary variables, variance estimation under two-phase sampling and some modified estimators are discussed in Chapter 2. The major contribution of this dissertation appears in Chapter 3, 4, 5, 6 and 7. The multivariate ratio-type estimators along with some special cases are discussed in Chapter 3. These estimators are discussed for the three situations, the partial information, the full information and the no information. The expressions for variance covariance matrices are computed for multivariate cases and the univariate cases have also been discussed. In Chapter 4, the multivariate regression-cum-exponential estimators along with the special cases and the minimum variance covariance expressions are discussed. Further these estimators are also derived for the full and the no information cases. The optimum values for the constants have also been discussed. The real life Canadian climate data is used to check the efficiency of our proposed (ratio and regression-cum-exponential) estimators, in Chapter 5. Chapter 6 is based on the simulation studies. In simulation studies, we used two models to demonstrate the performance of our proposed estimators. The last Chapter of this dissertation contains the conclusions about our proposed and existing estimators and it is discussed how our proposed estimators are more efficient than existing estimators.
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وہ مجھ سے بیزار بڑا ہے

وہ مجھ سے بے زار بڑا ہے
دل ہے کہ اُس سے خوش رہتا ہے

ساتھ نہیں ہے دُور کھڑا ہے
ننگے پائوں کانچ چُبھا ہے

میرا قصور تو بس اتنا ہے
میں نے تجھ سے پیار کیا ہے

دل کیا جانے بھولا بھالا
رشتوں میں جو زہر گُھلا ہے

اَفلاطون کہے شاعر پر
حُسن کی دیوی کا پہرا ہے

میں شاعر وہ حُسن کی دیوی
اَفلاطون بھی سچ کہتا ہے

پیار اگر یَک طَرفہ ہو تو
پَل پَل کا جینا مَرنا ہے

سنا ہے مدہوشی میں شب بھر
اُس نے میرا نام لیا ہے

وہ تجھ کو کیوں یاد کرے گا
صادقؔ وہ مصروف بڑا ہے

Interaction of Household Wealth and Women’s Working Status on Child Malnutrition: Evidence from PDHS-2013

Theoretically, it is supposed that women’s working status and household wealth independently contribute towards the children’s dietary status. The working women of the inferior socio-economic class are generally engaged in the informal sector or low paid work. It may be argued that such kinds of service cannot contribute to the nutritious prestige in children. To solve this puzzle whether woman's working status in all socio-economic setups is contributing to children’s nutritional status or not? This is the main focus of the research. A sample data of 1169 households from PDHS (2012-13) are used to explore the influencing factors of child malnutrition. The study employed the binary logistic regression which observes the likelihood of malnutrition in the children. Malnutrition is measured through CIAF. The interaction terms of the woman’s working status and five quintiles of wealth index have been created. The results disclose that working women belonging to the household of the first two quintiles of the wealth index and the fourth quintile of the wealth index are not contributing to the nutritious prestige of the children. Furthermore, in the third quintiles, the working status of women contributes to the nutritional prestige of children. It may be inferred that the socioeconomic status of the household is important for the nutritional welfare of the children, not the woman's employment. However, it may be concluded that women’s employment should be of the level that can support the socio-economic status of the household.

Impact of Autonomy Support on Self Concept and Educational Aspiration of Adolescents

The present study deals with the perception of autonomy support, self-concept and educational aspirations of adolescents. This study examined the relationship between parental autonomy support, teacher autonomy support, self-concept and educational aspirations of adolescents. Additionally, this study examined the moderating effect of personal and demographic variables on the relationship between parental autonomy support, teacher autonomy support, self-concept and educational aspirations. For this purpose the Perception of Parental Autonomy Support Scale, Learning Climate Questionnaire and Tennessee Self-Concept Scale were used to measure the constructs. The research was carried out in three phases. Phase-I dealt with translation of scales into Urdu. Phase-II was consisted of pilot testing (n= 220) and carried to determine the cross language validation and to establish the psychometric properties of all the three scales. Item total correlations and internal consistency was determined through alpha coefficients for all the three scales. Phase-III was main study conducted on the sample of 560 adolescents including boys (n=255) and girls (n=305) of age ranged from 13-18 years (M=16.37, S.D=1.39) from different government and private educational institutes. The findings revealed significant relationship of parental and teacher autonomy support with self-concept and educational aspirations of adolescents. The findings of multiple moderated regression and binary logistic regression revealed significant moderation of personal and demographic variables in relationship of parental autonomy support, teacher autonomy support with self-concept and educational aspirations of adolescents.