Chi-Square Goodness-of-Fit Tests Based on Dependent Observations

1981 ◽  
pp. 35-49 ◽  
Author(s):  
Kamal C. Chanda
Keyword(s):  
Goodness Of Fit ◽  
Chi Square ◽  
Dependent Observations ◽  
Goodness Of Fit Tests

scholarly journals Estimating the Best-Fitted Probability Distribution for Monthly Maximum Temperature at the Sylhet Station in Bangladesh

2021 ◽  
Vol 2 (2) ◽  
pp. 60-67
Author(s):  
Rashidul Hasan Rashidul Hasan
Keyword(s):  
Probability Distribution ◽  
Goodness Of Fit ◽  
Probability Distributions ◽  
Probability Model ◽  
Temperature Data ◽  
Maximum Temperature ◽  
Chi Square ◽  
Goodness Of Fit Tests ◽  
Anderson Darling ◽  
Log Normal

The estimation of a suitable probability model depends mainly on the features of available temperature data at a particular place. As a result, existing probability distributions must be evaluated to establish an appropriate probability model that can deliver precise temperature estimation. The study intended to estimate the best-fitted probability model for the monthly maximum temperature at the Sylhet station in Bangladesh from January 2002 to December 2012 using several statistical analyses. Ten continuous probability distributions such as Exponential, Gamma, Log-Gamma, Beta, Normal, Log-Normal, Erlang, Power Function, Rayleigh, and Weibull distributions were fitted for these tasks using the maximum likelihood technique. To determine the model’s fit to the temperature data, several goodness-of-fit tests were applied, including the Kolmogorov-Smirnov test, Anderson-Darling test, and Chi-square test. The Beta distribution is found to be the best-fitted probability distribution based on the largest overall score derived from three specified goodness-of-fit tests for the monthly maximum temperature data at the Sylhet station.

Inheritance and linkage of isozymes in Populus tremuloides (Michx.)

Genome ◽  
1987 ◽  
Vol 29 (2) ◽  
pp. 384-388 ◽  
Author(s):  
Jung O. Hyun ◽  
Om P. Rajora ◽  
Louis Zsuffa
Keyword(s):  
Populus Tremuloides ◽  
Goodness Of Fit ◽  
Single Gene ◽  
Gene Control ◽  
Glutamate Oxaloacetate Transaminase ◽  
Chi Square ◽  
Banding Patterns ◽  
Phosphogluconate Dehydrogenase ◽  
Goodness Of Fit Tests ◽  
Populus Species

Progenies of four controlled crosses were assayed electrophoretically to determine the inheritance of isozymes of 10 loci coding for six enzymes, aconitase (ACO), glutamate oxaloacetate transaminase (GOT), isocitrate dehydrogenase (IDH), phosphoglucomutase (PGM), 6-phosphogluconate dehydrogenase (6-PGD), and phosphoglucose isomerase (PGI), in roots of Populus tremuloides. Chi-square goodness of fit tests verified a single-gene Mendelian control of the segregating allozyme variants at each of five loci: Aco-1, Got, Pgm-2, 6-Pgd-2, and Pgi-2. Evidence was also obtained for a single-gene control of each of the remaining five loci (Aco-2, Idh, Pgm-1, 6-Pgd-1, and Pgi-1). ACO and PGM showed monomeric, while GOT, IDH, 6-PGD, and PGI had dimeric, banding patterns. The results of joint two-locus segregation tests indicated no linkage between 6-Pgd-2 and Pgi-2. Key words: Populus species, electrophoresis, allozymes, inheritance, linkage.

scholarly journals Efficiencies of Chi-Square and Likelihood Ratio Goodness-of-Fit Tests

1985 ◽  
Vol 13 (2) ◽  
pp. 727-742 ◽  
Author(s):  
M. P. Quine ◽  
J. Robinson
Keyword(s):  
Likelihood Ratio ◽  
Goodness Of Fit ◽  
Chi Square ◽  
Goodness Of Fit Tests

scholarly journals Number Processing Dissociations: Evidence from a Case of Dyscalculia

1998 ◽  
Vol 1 ◽  
pp. 18-31 ◽  
Author(s):  
Fernando Cuetos ◽  
Graciela Miera
Keyword(s):  
Goodness Of Fit ◽  
Number Processing ◽  
The Other ◽  
Chi Square ◽  
Numerical Processing ◽  
Goodness Of Fit Tests ◽  
Aphasic Patient ◽  
Tentative Explanation ◽  
Verbal Output

In this case study of an aphasic patient with difficulties in numerical processing, the patient responded to a series of linguistic and numerical tasks designed to assess efficiency levels in processing various linguistic components. In addition, the patient completed a series of transcoding tasks that were directed at isolating whether the problems were associated primarily with arabic numerals or with other modalities (spoken or written). Data were analyzed using chi-square goodness-of-fit tests. Statistically significant differences were obtained between spoken verbal and written verbal outputs and between arabic and spoken verbal outputs. Based upon an analysis of errors, it was tentatively concluded that the disorders were associated with two types of dissociation operating together, one between spoken verbal and written verbal outputs at the syntactical level and the other between lexical and syntactical components in the spoken verbal output. A revised model is proposed to provide a tentative explanation for these observations.

scholarly journals The relative age-related participation trends in European Badminton

2021 ◽  
Vol 13 (2) ◽  
pp. 37-45
Author(s):  
MERT BILGIC ◽  
ERHAN DEVRILMEZ
Keyword(s):  
Goodness Of Fit ◽  
Age Effect ◽  
The Other ◽  
Equal Opportunities ◽  
Chi Square ◽  
Relative Age ◽  
Goodness Of Fit Tests ◽  
Relative Age Effect ◽  
Age Related ◽  
European Youth

Background: T he purpose of this study was to identify the relative age effect (RAE) in European youth badminton through examining participation trends. Material and methods: T he birthdate distributions of 1909 badminton players (males = 994, females = 915) participating in the last three consecutive European U15, U17 and Junior (U19) Badminton Championships were analysed. Chi-square (χ²) goodness-of-fit tests were used to determine inter-quartile differences, and odds ratios (OR) and 95% confidence intervals were calculated in order to compare quartiles with each other. Results: Statistically significant over-representation of players born shortly after the cut-off date was determined. Regarding gender, RAE was more notable in males compared to females, and the strongest results were determined in U15 compared to the other age categories. Moreover, striking trends were determined in Q1–Q4 comparisons, particularly as players in Q1 were more than twice for females and thrice for males as likely to participate in the European Badminton Championships. Conclusions: F indings of this study confirm the presence of RAE in European youth badminton though decreasing its intensity with age. Certain precautions or different approaches should be taken into consideration to organize the age categories, such as biological markers, variations, rotations or age quota for equal opportunities.

Stochastic model of contractions at a point in the duodenum

1975 ◽  
Vol 229 (3) ◽  
pp. 613-617 ◽  
Author(s):  
RB Singerman ◽  
EO Macagno ◽  
Glover ◽  
J Christensen
Keyword(s):  
Slow Wave ◽  
Goodness Of Fit ◽  
Human Subjects ◽  
Real Data ◽  
Type Model ◽  
Chi Square ◽  
Frequency Distributions ◽  
The Real ◽  
Goodness Of Fit Tests ◽  
Wave Cycle

Contractions at one point in the human duodenum were studied as a time series. Manometric records were made over long time periods from the duodenum in fed human subjects. A 5-s grid was superimposed on the time axis of the records. Each 5-s interval was treated as a slow-wave cycle within which either a contraction or a no-contraction could occur. The resulting series of alternating runs of contractions and no-contractions was tested for the existence of trends. Trends were found indicating possible temporal dependence. A Markov-type model was used to try to generate data similar to the real data. Success was achieved by a model that assumed a probability of contraction dependent on the three previous slow-wave cycles. The frequency distributions obtained from the real and generated data were compared using Chi-square goodness-of-fit tests and found to be statistically similar. The correlations in time found for the contractions might be due to a time dependency in the controls for contraction over four successive slow-wave periods, 20 s in humans.

Goodness-of-fit tests for the family of multivariate chi-square copulas

2019 ◽  
Vol 140 ◽  
pp. 21-40
Author(s):  
Jean-François Quessy ◽  
Louis-Paul Rivest ◽  
Marie-Hélène Toupin
Keyword(s):  
Goodness Of Fit ◽  
Chi Square ◽  
Goodness Of Fit Tests ◽  
The Family
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