scholarly journals On a new approach to the analysis of variance for experiments with orthogonal block structure. III. Experiments in row-column designs

2019 ◽  
Vol 56 (2) ◽  
pp. 183-213
Author(s):  
Tadeusz Caliński ◽  
Agnieszka Łacka ◽  
Idzi Siatkowski
Keyword(s):  
Experimental Data ◽  
Hypothesis Testing ◽  
Analysis Of Variance ◽  
Analytical Methods ◽  
Block Structure ◽  
Practical Application ◽  
New Approach ◽  
Testing Procedures ◽  
The Third

SummaryThe main estimation and hypothesis testing procedures are presented for experiments conducted in row-column designs of a certain desirable type. It is shown that, under appropriate randomization, these experiments have the convenient orthogonal block structure. Due to this property, the analysis of experimental data can be performed in a comparatively simple way. Relevant simplifying procedures are indicated. The main advantage of the presented methodology concerns the analysis of variance and related hypothesis testing procedures. Under the adopted approach one can perform these analytical methods directly, not by combining results from analyses based on some stratum submodels. Practical application of the presented theory is illustrated by four examples of real experiments in the relevant row-column designs. The present paper is the third in the projected series of publications concerning the analysis of experiments with orthogonal block structure.

scholarly journals On a new approach to the analysis of variance for experiments with orthogonal block structure. IV. Experiments in split-plot designs

2020 ◽  
Vol 57 (2) ◽  
pp. 151-175
Author(s):  
Tadeusz Caliński ◽  
Agnieszka Łacka ◽  
Idzi Siatkowski
Keyword(s):  
Experimental Data ◽  
Hypothesis Testing ◽  
Analysis Of Variance ◽  
Block Structure ◽  
Practical Application ◽  
Simple Manner ◽  
New Approach ◽  
Testing Procedures ◽  
Split Plot

SummaryThis paper provides estimation and hypothesis testing procedures for experiments in split-plot designs. These experiments have been shown to have a convenient orthogonal block structure when properly randomized. Due to this property, the analysis of experimental data can be carried out in a relatively simple manner. Relevant simplification procedures are indicated. According to the adopted approach, the analysis of variance and hypothesis testing procedures can be performed directly, rather than by combining the results of analyses based on some stratum submodels. The practical application of the presented theory is illustrated by examples of real experiments in appropriate split-plot designs. The present paper is the fourth in the planned series of publications on the analysis of experiments with orthogonal block structure.

scholarly journals On a new approach to the analysis of variance for experiments with orthogonal block structure.

2018 ◽  
Vol 55 (2) ◽  
pp. 147-178
Author(s):  
Tadeusz Caliński ◽  
Idzi Siatkowski
Keyword(s):  
Experimental Data ◽  
Hypothesis Testing ◽  
Analysis Of Variance ◽  
Analytical Methods ◽  
Block Structure ◽  
Block Designs ◽  
New Approach ◽  
Testing Procedures

SummaryThe main estimation and hypothesis testing procedures are presented for experiments conducted in nested block designs of a certain type. It is shown that, under appropriate randomization, these experiments have the convenient orthogonal block structure. Due to this property, the analysis of experimental data can be performed in a comparatively simple way. Certain simplifying procedures are indicated. The main advantage of the presented methodology concerns the analysis of variance and related hypothesis testing procedures. Under the adopted approach one can perform these analytical methods directly, not by combining the results from analyses based on stratum submodels. The application of the presented theory is illustrated by three examples of real experiments in relevant nested block designs. The present paper is the second in the planned series concerning the analysis of experiments with orthogonal block structure.

scholarly journals On a New Approach to the Analysis of Variance for Experiments with Orthogonal Block Structure.

2017 ◽  
Vol 54 (2) ◽  
pp. 91-122
Author(s):  
Tadeusz Calinski ◽  
Idzi Siatkowski
Keyword(s):  
Experimental Data ◽  
Hypothesis Testing ◽  
Analysis Of Variance ◽  
Block Structure ◽  
Block Designs ◽  
New Approach ◽  
Testing Procedures

Abstract Summary The main estimation and hypothesis testing results are presented for experiments conducted in proper block designs. It is shown that, under appropriate randomization, these experiments have the convenient orthogonal block structure. Because of this, the analysis of experimental data can be performed in a comparatively simple way. Certain simplifying procedures are introduced. The main advantage of the presented methodology concerns the analysis of variance and related hypothesis testing procedures. Under the adopted approach one can perform them directly, not by combining results from intra-block and inter-block analyses. Application of the theory is illustrated by three examples of real experiments in proper block designs. This is the first of a projected series of papers concerning the analysis of experiments with orthogonal block structure.

Self-Choices, Preferences, and Personality Traits

1969 ◽  
Vol 25 (2) ◽  
pp. 659-667 ◽  
Author(s):  
William N. Thetford ◽  
Helen Schucman
Keyword(s):  
Hypothesis Testing ◽  
Personality Traits ◽  
Test Performance ◽  
Personality Assessment ◽  
Assessment System ◽  
Intelligence Test ◽  
New Approach ◽  
The Third ◽  
Average Intelligence ◽  
Normal Males

This is the third in a series of studies based on the Personality Assessment System (PAS), a new approach to relating personality traits to intellectual test performance. In the sample were 152 young, white, “normal” males of at least average intelligence. The purpose was to test hypotheses involving Ss' self-concepts and preferences as obtained independently of the intelligence test data on an instrument devised along theory-determined lines. 9 hypotheses were drawn up in advance, of which 5 were upheld statistically. The study provides an example of the kind of specific hypothesis testing the PAS permits and some further evidence in support of its theoretical formulations.

OPTIMAL TESTING IN A FIXED-EFFECTS FUNCTIONAL ANALYSIS OF VARIANCE MODEL

2004 ◽  
Vol 02 (04) ◽  
pp. 323-349 ◽  
Author(s):  
FELIX ABRAMOVICH ◽  
ANESTIS ANTONIADIS ◽  
THEOFANIS SAPATINAS ◽  
BRANI VIDAKOVIC
Keyword(s):  
Functional Analysis ◽  
Hypothesis Testing ◽  
Analysis Of Variance ◽  
Fixed Effects ◽  
Wavelet Coefficients ◽  
Variance Model ◽  
Testing Procedures ◽  
Functional Interactions ◽  
Wide Range ◽  
Main Effects

We consider the testing problem in a fixed-effects functional analysis of variance model. We test the null hypotheses that the functional main effects and the functional interactions are zeros against the composite nonparametric alternative hypotheses that they are separated away from zero in L2-norm and also possess some smoothness properties. We adapt the optimal (minimax) hypothesis testing procedures for testing a zero signal in a Gaussian "signal plus noise" model to derive optimal (minimax) non-adaptive and adaptive hypothesis testing procedures for the functional main effects and the functional interactions. The corresponding tests are based on the empirical wavelet coefficients of the data. Wavelet decompositions allow one to characterize different types of smoothness conditions assumed on the response function by means of its wavelet coefficients for a wide range of function classes. In order to shed some light on the theoretical results obtained, we carry out a simulation study to examine the finite sample performance of the proposed functional hypothesis testing procedures. As an illustration, we also apply these tests to a real-life data example arising from physiology. Concluding remarks and hints for possible extensions of the proposed methodology are also given.

Pengaruh Pemberian Moringa oleifera Terhadap Kuantitas dan Kualitas Semen Sapi Peranakan Ongole

2020 ◽  
Vol 7 (2) ◽  
pp. 119
Author(s):  
Lukman Affandhy ◽  
Muchamad Luthfi ◽  
Dian Ratnawati ◽  
Frediansyah Firdaus
Keyword(s):  
Data Analysis ◽  
Analysis Of Variance ◽  
Research Method ◽  
Moringa Oleifera ◽  
The Third ◽  
Randomized Design ◽  
Leaf Powder ◽  
Completely Randomized Design ◽  
Second Period

ABSTRAK  Penelitian bertujuan untuk mengetahui pengaruh pemberian bubuk daun Moringa oleifera (MO) terhadap kuantitas dan kualitas semen sapi peranakan ongole (PO). Metode penelitian menggunakan percobaan lapang dengan rancangan acak lengkap dengan tiga perlakuan pemberian MO sebesar 0 kg/ekor/hari (P1); 0,05 kg/ekor/hari (P2) dan 0,1 kg/ekor/hari (P3). Analsis data menggunakan one way analysis of variance. Masing-masing perlakuan terdiri atas empat ekor dengan tiga periode pengamatan sebagai ulangan, yaitu periode pertama dan ketiga tanpa MO, dan periode kedua diberikan MO pada P2 dan P3. Hasil penelitian menunjukan bahwa volume dan pH semen perlakuan P1, P2 dan P3 tidak berbeda semua periode pengamatan. Motilitas massa spermatozoa P2 dan P3 periode kedua dan ketiga menunjukan nilai +++ berbeda nyata (P<0,05) dibandingkan dengan P1 (++); motilitas individu  perlakuan P1 menunjukkan nilai terendah 60,56±2,94 % (P<0,05) dibandingkan P2 dan P3 pada periode kedua dan ketiga (75,50±2,29 dan 72,50±2,34%). Konsentrasi spermatozoa P2 dan P3 periode kedua dan ketiga menunjukkan rata-rata  >1.350 juta/ml berbeda nyata (P<0,05) daripada P1 (876±152juta/ml), sedangkan total spermatozoa motil menunjukkan nilai tertinggi 5.647±829 juta/ml pada P3 periode kedua.Viabilitas spermatozoa P2 dan P3 menunjukkan nilai >88-89 % beda nyata (P<0,05) daripada P1 (<84 %) pada periode kedua dan ketiga, sedangkan nilai abnormalitas spermatozoa yang terbaik adalah P2 sebesar 4,30% pada periode kedua dan P3 sebesar 5,33% pada periode ketiga. Disimpulkan pemberian bubuk daun MO dengan dosis 0,1 kg/ekor/hari dapat memperbaiki kuantitas dan kualitas semen (viabilitas dan total spermatozoa motil) sapi pejantan PO.Kata kunci:  kuantitas dan kualitas semen, Moringa oleifera, sapi pejantan ABSTRACTThe research aimed to determine the effect of Moringa oleifera (MO) leaf powder on the quantity and quality of semen of ongole crossbreed. The research method used was a field experiment with a completely randomized design with three treatments giving MO of 0 kg/head/day (P1); 0.05 kg/head/day (P2) and 0.1 kg/head/day (P3). Each treatment consisted of four heads with three periods of observation as replications, namely the first and third periods without MO, and the second period was given MO on P2 and P3. Data analysis used a one-way analysis of variance. The results showed that the volume and pH of semen treated P1, P2, and P3 didn’t different in all observation periods. The second and third period spermatozoa mass motility of P2 and P3 showed that the value of +++ was significantly different (P<0.05) compared to P1 (++); Individual motility of P1 treatment showed the lowest value 60,56±2,94 % (P<0.05) compared to P2 and P3 in the second and third periods (75,50±2,29 and 72,50±2,34%). The second and third periods of P2 and P3 spermatozoa concentrations showed an average of >1,350 million/cc significantly different (P<0.05) than P1 (876±152 million/cc), while the total motile spermatozoa showed the highest value of 5,647±829 million/cc in the second period P3. The spermatozoa viability of P2 and P3 showed values >88-89% significantly different (P<0.05) than P1 (<84%) in the second and third periods, while the best spermatozoa abnormalities were P2 at 4.30% in the second period and P3 at 5.33% in the third period. It was concluded that the giving of MO leaf powder at a dose of 0,1 kg/head/day could improve the quantity and quality of semen (viability and total motile spermatozoa) of Ongole Crossbreed bulls. Keywords: bulls, Moringa oleifera, quantity and quality of semen

Vapour-liquid equilibrium in the isobutyl formate-isobutyl alcohol and n-butyl formate-isobutyl alcohol systems at atmospheric pressure

1979 ◽  
Vol 44 (12) ◽  
pp. 3501-3508 ◽  
Author(s):  
Jan Linek
Keyword(s):  
Experimental Data ◽  
Fourth Order ◽  
Atmospheric Pressure ◽  
Isobutyl Alcohol ◽  
Liquid Equilibrium ◽  
The Third

Isobaric vapour-liquid equilibria in the isobutyl formate-isobutyl alcohol and n-butyl formate-isobutyl alcohol systems have been measured at atmospheric pressure. A modified circulation still of the Gillespie type has been used for the measurements. The experimental data have been correlated by means of the third- and fourth-order Margules equations.

Theoretical Interpretation of High-Performance Chromatographic Data for a Heterogeneous Series of Compounds

1992 ◽  
Vol 57 (1) ◽  
pp. 33-45
Author(s):  
Vladimír Jakuš
Keyword(s):  
Experimental Data ◽  
High Performance ◽  
Theoretical Interpretation ◽  
Retention Data ◽  
Theoretical Evaluation ◽  
New Approach ◽  
Free Energy Of Solvation ◽  
Rp Hplc ◽  
Mobile Phases ◽  
Reversed Phases

A new approach to theoretical evaluation of the Gibbs free energy of solvation was applied for estimation of retention data in high-performance liquid chromatography on reversed phases (RP-HPLC). Simple and improved models of stationary and mobile phases in RP-HPLC were employed. Statistically significant correlations between the calculated and experimental data were obtained for a heterogeneous series of twelve compounds.

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