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M. Sc. Dissertations

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20164
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Subject: Statistics × Start date: 2016 ×
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    ThesisItemOpen Access
    Incomplete block designs for diallel and partial diallel crosses- A critical review
    (CCSHAU, 2016) Bishnoi, Rekha; Aneja, D.R.
    The objective of present investigation is to give an exhaustive review of work done on incomplete block designs for diallel and partial diallel crosses. Confounded diallel crosses for Methods I and III of Griffing (1956) given by Agarwal (1974, 75) are useful when the experimenter is interested in the estimation of all components i.e. g.c.a, s.c.a, maternal and maternal interaction effects of diallel crosses. The loss of information of different effects and interactions has also been given. N-ary designs using triangular PBIB designs given by Divecha and Ghosh (1994) for estimation of g.c.a, s.c.a, reciprocal effects for all four complete diallel crosses can be used. Efficiency of these designs is a matter of investigation. Optimal complete diallel crosses using Nested (Gupta and Kageyama, 1994) & PBIB designs (Dey and Midha, 1996) and efficient designs for complete diallel crosses through Latin square designs (Sharma et al., 2011) & balanced lattice designs (Sharma, 2005) have been also described in the present manuscript. These designs are efficient/optimal for g.c.a effects only. Catalogue of all such designs for number of inbred lines upto 20 have been also given which will be useful for the experimenter in the selection of appropriate blocked diallel cross design as per his requirement. Optimal complete diallel crosses designs given by Chai and Mukherjee (1999) are optimal for both g.c.a as well as s.c.a comparisons. Method of constructing Incomplete Block Designs for Partial Diallel Crosses using n-ary designs given by Agarwal & Das (1990) and Divecha & Ghosh (1997) have been illustrated through examples also. In these methods, two designs have to be considered; one for construction and another for evaluation of Partial Diallel Crosses. When the list of all such BIB and PBIB designs is not available, Mating Environment designs using circular designs (Sharma, 1998) are useful because these are available for any combination of number of treatments and block sizes. Catalogues of such designs have been provided in in tabular form. Construction method of optimal partial diallel crosses by Mukerjee (1997) & Das et al. (1998) available in literature have been also described.
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    ThesisItemOpen Access
    Growth analysis of major food crops in Haryana and India
    (CCSHAU, 2016) Sumbherwal, Nisha; Aneja, D.R.
    The study was exclusively based on secondary data. The data related to area, production and yield of rice, wheat and total foodgrains in Haryana and India for the years 1966-67 to 2012-13 were collected from Statistical Abstract of Haryana, Statistical Abstract of India and Agricultural Situation in India. Keeping in view the importance of rice, wheat and total foodgrains in Haryana and India, the study was planned (i) To examine the trend and instability in area, production and productivity of rice, wheat and total foodgrains in Haryana and India and (ii) To compute the growth rates of area, production and productivity of rice, wheat and total foodgrains in Haryana and India. The study revealed positive trends in area, production and yield of rice, wheat and total foodgrains for both Haryana and India. The production of rice in Haryana and India increased mainly due to increase in area whereas for wheat production, the contributions of area and yield are comparable. For total foodgrains production yield is mainly responsible. Similar results are obtained on triennium bases. Area, production and yield of rice crop have shown positive growth rates in Haryana during entire study period and five sub-periods and except for the yield in Period- V. The overall trend in production of rice crop for India was found to be similar to that of Haryana, yield has shown positive growth rates during the entire study period and five sub-periods while negative growth rates were observed in area under the rice crop during Period- IV and V. For wheat crop, all the three aspects (i.e. area, production and yield) have shown positive growth rates in Haryana while in case of India, positive growth rates were observed for both area and production except in Period- IV. Trend of yield in India was similar to that of Haryana. In Haryana, area, production and yield have shown positive growth rates for total foodgrains in all the periods and the overall period except for area in Period-III, IV and V and the overall period. In case of India positive growth rates were obtained for production and yield of total foodgrains while area has shown negative trend in Periods III, IV, V and entire period under study. The production of rice in Haryana and India increased mainly due to increase in area whereas for production of wheat, the contribution of area and yield are comparable. For total foodgrains production, the yield was found to be mainly responsible for both at the state level and at country level.
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    ThesisItemOpen Access
    Study on principal dimensions of regional developmental disparities in Haryana
    (CCSHAU, 2016) Hooda, Ekta; Manocha, Veena
    Development is a multi-dimensional phenomenon and may be defined as a process, which improves the quality of life. Many programmes of development have been undertaken in our country after i ndependence through annual and five-year plans with main focus on agriculture, employment generation, population control, literacy, health etc. Such programmes have been implemented in almost all the states of India including Haryana. Accordingly, the overall quality of life has improved considerably after independence, however, the disparities in the level of development can still be observed at district and state levels. Therefore, the present study deals with the classification of districts of Haryana based on composite indices according to their level of development and identification of the principal dimensions of regional disparities for effective discrimination between backward and developed regions. The study indicated wide disparities in the level of development among various districts of Haryana over the periods of study. The overall development level revealed that the districts of Ambala, Faridabad and Gurgaon captured first position on the development scale in 1991-92, 2001-02 and 2011-12, respectively, whereas Mahendragarh had the last position in 1991-92 and 2001-02 and newly formed district Mewat in 2011-12. Separate principal component analysis of 19 indicators of development from agriculture sector and 9 indicators of socio-economic sectors indicated that first principal component comes out to be the principal dimension in each case with high component loading for most of the indicators. Principal indicators have also been identified for agriculture and socio -economic sectors by associating one indicator with each of the retained principal component. The rank correlations between first principal component based and composite indices based ranking of the districts for agriculture and socio-economic sectors too justified the degree of association between the two systems. Principal component based canonical analysis was performed to establish the relationship between agriculture and socio-economic sectors where first two canonical correlations were found significant in 1991-92 and one each in 2001-02 and 2011-12 periods.
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    ThesisItemOpen Access
    Development of ARIMA and weather yield models for pre-harvest forecasting of mustard crop in Haryana
    (CCSHAU, 2016) Ravita; Verma, Urmil
    An efficient crop forecasting infrastructure is pre-requisite for information system about food supply, especially export–import policies, procurement and price-fixation. The statistical modelling approaches viz., ARIMA, multiple linear regression and principal component analyses were used to achieve the district-level mustard yield estimation in Haryana. The study was categorized into two parts i.e. the development of ARIMA and zonal weather-yield models for pre-harvest mustard yield forecasting in Hisar, Bhiwani, Sirsa, Fatehabad, Mahendergarh, Rewari, Jhajjar and Gurgaon districts of Haryana. The ARIMA models have been fitted using the time-series mustard yield data for the period 1966-67 to 2008-09 of Hisar, Mahendergarh and Gurgaon districts and 1972-73 to 2008-09 of Bhiwani district, 1975-76 to 2008-09 of Sirsa district and 1997-98 to 2008-09 of Fatehabad and Jhajjar districts. However, the fortnightly weather data have been utilized from 1980-81 to 2008-09 for building the zonal weather-yield models. Models have been validated using the data on subsequent years i.e. 2009-10 to 2013-14, not included in the development of the models. ARIMA(0,1,1) for Hisar, Bhiwani and Sirsa districts and ARIMA(1,1,0) for Mahendergarh, Jhajjar, Fatehabad and Gurgaon districts were fitted for estimating district-level mustard yield(s) in Haryana. The zonal weather-yield models were fitted by taking DOA yield as the dependent variable and fortnightly weather parameters (or PC scores) along with trend yield/CCT/dummy variables as regressors. The predictive performance(s) of the contending models were observed in terms of the percent deviations of mustard yield forecasts in relation to the observed yield(s) and root mean square error(s) as well. The level of accuracy achieved by zonal yield model(s) using crop condition term as categorical covariate along with weather variables was considered adequate for estimating the district-level mustard yield(s) well ahead of the harvest time. The model incorporating maximum and minimum temperatures, rainfall, relative humidity, sunshine hours and crop condition term (categorical variable) as predictors had the highest predictive accuracy. Though, the zonal yield models using trend yield and PC scores as regressors showed the superiority over the multiple linear regression analysis based on trend yield and weather variables but sometimes the percent relative deviations were too high to be considered worth for yield forecasting purpose. Zonal yield models incorporating CCT and weather variables consistently showed the satisfactory results in capturing the percent relative deviations pertaining to mustard yield forecasts and performed well with lower error metrics as compared to the remaining models in all time regimes for the districts under consideration.