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ThesisItem Open Access Comparative study of genotype environment interactions in sesame(Department of Statistics, College of Veterinary and Animal Sciences, Mannuthy, 1989) Mini, C J; KAU; George, K CThe present study has been conducted to choose a consistent variety for all the regions and all seasons in the light of genotype-environment interaction with the following objectives. (i) to evaluate the existing techniques available for studying GE interaction in sesame (ii) to develop new concepts and methods to solve some problems peculiar to crop sesame like non-linearity of interactions, non-orthogonality of data and different patterns of genotype-environment (GE) interactions that are encountered while studying the stability of varieties simultaneously for several traits.ThesisItem Open Access Forecasting of rice yield using climatological variables(Department of Statistics, College of Veterinary and Animal Sciences, Mannuthy, 1986) Ajitha, T K; KAU; Prabhakaran, P VSystematic crop and weather observations on autumn and winter paddy at Pattambi Rice Research Station, during 1949-50 to 1973-74 have been analysed in order to evaluate the effect of different climatic factors on rice yield and to develop suitable prediction models for the preharvest forecasting of rice yield with sufficient degree of precision. The varieties under observation were PTB 1 and PTB 5 in the autumn season and PTB 12 and PTB 20 in the winter season. The crop was raised as rainfed through out the entire period of investigation. The moteorological variables included in the study were total rainfall (mm), number of rainy days, maximum temperature (°C), minimum temperature (°C), maximum humidity (%), minimum humidity (%), total hours of sunshine and wind velocity (km/h).ThesisItem Open Access Divergence analysis of morphological and quality traits in sugarcane(Department of Statistics, College of Veterinary and Animal Sciences, Mannuthy, 1989) Santhi, T E; KAU; Saraswathy, PMultivariate analytical techniques are found to be very useful in plant breeding research to explain the influence of various factors on the phenomenon under study. Factor analysis is found to be an appropriate tool to identify the factors of genetic divergence. D2 – analysis is helpful to group the divergent genotypes into various clusters when measurements on a number of related characters are available on a large number of genotypes such that the genotypes within a cluster are homogeneous with respect to these characters and heterogeneous between the clusters. The present study is aimed at identifying the factors of divergence in relation to morphological and quality traits in forty eight clones of sugarcane. The fifteen clones T.67172, Co.7717, Co.419, Coc.779, Co.7219, Coc.777, Ic.225, Co.6304, S - 99, Coc.773, Coc.772, Co.62198, Co.62101, Coc.778 and S – 77 are able to group into one cluster. Four more clusters are able to form respectively with five varieties (Co.658, Co.62175, S – 105, Co.6907, Co.995) in the second cluster, nine (F.1 – 2, Co.62174, S – 87, KHS 3296, Coc. 671, Co.7704, Co.785, CoM.7114, CoM.7125) in the third, seven (Co.6807, Co.1340, Co.527, S – 33, Co.6806, B. 37172, Co. 527 – M – 10) in the fourth and four varieties (Co.1307, CoA.7602, Coc.705, Co.453) in the fifth cluster. The remaining clones are not able to group. Among these clusters are utilized for factor analysis. A factor related to quality is extracted as the first factor in all the three clusters. The characters pol at 12th month, C.C.S. percentage, brix at 12th month, purity percentage and sugar yield per plot dominated this factor. Among these characters pol at 12th month, C.C.S. percentage and brix at 12th month are found to be more amenable to changes due to selection. The second factor is identified by the characters cane yield per plot, shoot count germination count and number of millable canes. Apart from these characters weight of cane is also included in this factor in cluster 1. The characters which are more amenable to change due to selection are cane yield per plot and shoot count. The characters are not common in the remaining four factors. These six factors are able to explain 66.84 percent, 79.44 percent and 87.41 percent of variation respectively in the first, third and fourth cluster.ThesisItem Open Access Uniformity trials on colocasia (Colocasia esculenta L.)(Department of Statistics, College of Veterinary and Animal Sciences, Mannuthy, 1986) Lizy, M J; KAU; George, K GA uniformity trial on colocasia was conducted at the experimental field of the College of Agriculture, Vellayani during the period April – September 1984, to study the nature and magnitude of soil heterogeneity and to estimate the optimum size and shape of plots in conducting field trials on colocasia. The various techniques adopted for achieving these objectives were, productivity contour map, mean squares among strips, serial correlation, heterogeneity index method and maximum curvature method. The biometrical observations such as height, girth, yield number of leaves and leaf area were taken from all plants. Productivity contour map revealed that the field was heterogeneous with regard to soil fertility. The mean squares for the horizontal and vertical arrangements indicated that the fertility was more clear along the length than along the width of the field. The low serial correlation coefficients for both rows and columns established that fertile areas occur in patches. The coefficient of variation increased in plot size. For a given size of the plot, the long and narrow plots yield lower coefficient of variation than square plots. The Smith’s variance law in the form Y = ax-b gave a satisfactory fit to the data. But among all the fitted models the equation Y = a + b/ x1/2 + c/x was found to be the best. Generalisation of Smith’s law in the form Y = ar-g 1c-g 2 also gave a good fit to the data and heterogeneity of rows was found to be significantly more than that of columns. The optimum plot size found out by using Smith’s equation was 12 units (3.34m2). But the optimum plot size computed by using the optimum equation Y = a + b/x1/2 + c/x was 10.87 units (2.93m2). A study of the optimum plot size while considering the cost of experimentation using the Smith’s equation was 1.636m2. In general, it can be recommended that a plot of 2.93m2 as optimum for conducting field trials on colocasia.ThesisItem Open Access Balanced designs for biological experiments in blocks of natural sizes(Department of Statistics, College of Veterinary and Animal Sciences, Mannuthy, 1983) Malika, V; KAU; Surendran, P UAs a preliminary result we have established Fisher’s inequality associated with a BIB design and generalized it to balanced binary designs with unequal replications and unequal block sizes to balanced n-ary equireplicate designs and also to BIB designs in which one treatment alone is allowed to repeat more than once in a block. Further it is shown that a balanced proper binary design is equireplicate. From existing BIB designs we have constructed balanced binary and ternary designs. A novel method of construction is as follows: Let there be a BIB design with parameters v, b, r, k, λ. From each block form k blocks each of size k+1 with block content as all treatments of the block with one distinct treatment repeated in a block. The resulting design will be a balanced ternary design with parameters v1=v, b1=kb, r1=r(k+1), λ1= λ(k+2). Kroneckor product is applied for the construction of balanced ternary designs by collapsing blocks of a BIB design. We have proved using Kroneckor product, that existence of a resolvable BIB design implies the existence of a proper balanced ternary design and this is an improvement over the results due to Dey (1970). Further it is shown that method of Kroneckor product used for the construction of balanced ternary designs can also be used for the construction of partially balanced ternary designs. Methods have been devised for the construction of balanced ternary designs making use of Finite geometrices and Galois field.
