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Recent Advances in Detecting Outliers in Moment Distributions

Thesis Info

Access Option

External Link

Author

Iqbal, Muhammad Zafar

Program

PhD

Institute

National College of Business Administration and Economics

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2015

Thesis Completion Status

Completed

Subject

Statistics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/10926/1/Muhammad%20Zafar%20Iqbal_Stat_2015_NCBAE_PRR.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727069378

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The study of outliers is one of the challenges existed for at least several hundred years. Outliers are the observations which are stranger from the bulk of data. Sometimes outliers may not be noticed but most of the times they can change the entire statistical data analysis. At the earlier stage of the data analysis, summary statistics such as the sample mean and variance, outliers can cause totally different conclusion, e.g. a hypothesis may or may not be rejected due to outliers. In fitting regression line outliers can significantly change the slope and 2R . If the detection of outliers is not done properly before data analysis then it may lead to model misspecification, biased parameter estimation and incorrect results. It is therefore pertinent to identify the outliers prior to proceed further for analysis and modeling. Much work has been done in Univariate probability distributions. The objective of this study is to develop the methods which are used to detect the outliers in Univarite Moment Distributions. Two discordancy tests are developed to detect the single and two outliers from data characterized by Moment distributions. The exact distribution of developed tests does not exist, therefore for finding the Tables of critical values simulation study was used. The Tables of critical values are developed at 5% and 1% level of significance by means of a simulation study.Applications of two other methods which are based on sample skewness and Kurtoses have been extended to detect the outliers in Moment distributions. The Tables of critical values are also generated for these two methods at 5% and 1% level of significance on the basis of a simulation study. The performance rates of four methods are found at various sample sizes by means of a simulation study. It is worth mentioning that methods ?1 and ?2 only indicates the presence of outliers in the data, while methods ?1 and ?2 not only identify the presence of outliers but also specify the particular outliers.
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Negative Wash-Back of Formative Assessment to Learning in Saudi Higher Education Context

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Productive and Reproductive Performance of Indegenious and Cross Bred Dairy Calttle in Muzaffarabad Azad Jammu and Kashmir

The study was conducted at Livestock Development Research Centre Muzaffarabad, Azad Jammu and Kashmir. The primary objective of this study was to improve the milk production of indigenous cows along with other productive and reproductive traits by crossing with European breeds. The indigenous heifers were artificially inseminated with Jersey semen and F1 crossbred were produced. The F1 offspring were selfed to obtain the F2 offspring and on the other hand the F1 cows were crossed with Frisian bull to produce three-breed crossbred cows. The information regarding productive and reproductive traits of all the cows was studied. The number of cows for each group were 48 for indigenous, 32 for F1 (Indigenous × Jersey) cross, 19 for F2 (F1 × F1) cross and 18 for F1 × Frisian cross. Highly significant increase (P < 0.0001) in milk yield and birth weights of calves was observed in all the crossbred cows compared to indigenous cows. Highest milk yield per lactation (1411.0 ± 92.88 liters) and highest lactation length (354.5 ± 16.70 s) was observed in F1 × Frisian cross whereas the highest 305day milk yield (1674.0 ± 47.58 liters) and daily average milk yield (5.07 ± 0.14 liters) was observed in F1 (Indigenous × Jersey) cows. 305day milk yield did not differ significantly between F2 (1295.0 ± 75.36 liters) and F1 × Frisian (1355.0 ± 60.32 liters) cows. The sex ratio of male and female calves did not differ significantly among the all breed groups (P > 0.05). Similarly method of breeding did not affect the sex ratio of male and female calves. Mean age at first calving (AFC) reduced highly significantly (P < 0.0001) in all the crossbred cows (951.2 ± 37.35 s for F1, 1086 ± 37.89 for F2 and 952.1 ± 28.23 s for F1 × Frisian) compared to indigenous (1861 ± 42.45 s) cows. Mean AFC of F1 and F1 × Frisian cows did not differ significantly (P = 0.9869). Mean dry period of F1 (110.2 ± 4.78 s); F2 (124.8 ± 10.14 s) and F1 × Frisian (99.76 ± 6.67 s) cows decreased highly significantly (P < 0.0001) compared to indigenous cows (239.5 ±7.87 s). The dry period among the crossbred cows did not differ significantly (P > 0.05). The service period recorded in present study was 256.0 ± 8.67, 92.60 ± 5.04, 81.81 ± 11.19 and 266.7 ± 16.56 s for indigenous, F1, F2 and F1 × Frisian cows respectively. The mean service period in F1 and F2 crossbred cows decreased highly significantly (P < 0.0001) compared to indigenous cows but no significant difference (P = 0.5493) was observed between the service period of indigenous and F1 × Frisian cows. Mean calving interval of one year was observed in F1 (368.8 ± 5.32 s) and F2 (359.8 ± 11.68 s) crossbred cows where as a calving interval of 518.6 ± 9.54 and 540.9 ± 22.39 s was observed in indigenous and F1 × Frisian cows respectively. The mean calving interval decreased highly significantly in F1 and F2 cows compared to indigenous and F1 × Frisian cows (P < 0.0001). Mean calving interval of indigenous and F1 × Frisian cows did not differ significantly (P = 0.2895). High breeding efficiency was observed in F1 (93.68 ± 1.85 %) and F2 (93.71 ± 2.74 %) and it increased highly significantly (P < 0.0001) in F1 and F2 compared to indigenous cows (73.46 ± 2.50 %). The mean breeding efficiency of F1 × Frisian (65.62 ± 3.05 %) did not differ significantly from that of indigenous cows (P = 0.0870). Within F2 crossbred cows significant (P < 0.05) sires effects were observed on 305 milk yield, daily milk yield and service period while the birth weight, milk yield per lactation, lactation length, age at first calving, dry period and calving interval were not affected significantly (P > 0.05) by sire. The sire effects within F1× Frisian crossbred cows were not observed (P > 0.05). Parity has significantly affected 305day milk yield in indigenous, F1 and F2 cows whereas parity did not significantly affected 305day milk yield in F1 × Frisian cows (P = 0.2472). The 305day milk yield in indigenous cows decreased significantly (P = 0.0063) from parity one to parity five. 305day milk yield in F1 and F2 increased significantly (P < 0.05) towards 4th and 5th parity and decreased thereafter. The mean lactation length in indigenous cows decreased significantly from first to five parity (P = 0.0024). Parity did not affect significantly (P > 0.05) lactation length of crossbred cows in relation to parity. Season of calving significantly (P < 0.05) affected the 305day milk yield in indigenous and crossbred cows. In indigenous cows autumn calvers produced the highest 305day milk compared to spring, summer and winter calvers. In crossbred cows highest 305day milk yield was observed in winter calvers compared to spring, summer and autumn calvers. The lactation length was not affected significantly (P > 0.05) by the season of calving in nondescript and their crossbred. Year of calving had a significant (P < 0.05) effect on 305 milk yield and lactation length of nondescript indigenous cows. 305 milk yield and lactation length of all the crossbred groups was not affected significantly (P > 0.05) by the year of calving. Overall productive and reproductive performance of indigenous × Jersey (F1) crossbred cows was found to be better compared to F2 and F1× Frisian crossbred cows. Thus upgrading of indigenous cows of AJ&K with exotic breed of Jersey is suggested in this study.