Statistical models and their experimental application:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London
Griffin
1970
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Griffin's statistical monographs and courses
25 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 88 S. |
| ISBN: | 0852641664 |
Internformat
MARC
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| 264 | 1 | |a London |b Griffin |c 1970 | |
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| 650 | 4 | |a Experimental design | |
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
1 Preliminaries 1
Objections to the usual principles of experimental design and
analysis: the concept of experimental material as fixed
(pp. 1—2), common views on the function of an experiment
(pp. 2—3), unrealistic models (pp. 3—4).
2 Treatments, questions and randomization 5
Importance of randomization (p. 5). Classification of treatments
(p. 6). Choice of material and treatment as determined by the
purpose of an experiment (pp. 6—7).
3 Complete randomization 8
Modal of the observed random variable (pp. 8—9). Estimators
of contrasts (pp. 9—10). Orthogonal functions (pp. 10—11).
4 Randomized blocks 12
The concept of replications (pp. 12—13). Components of hetero¬
geneity (p. 13). Model of the observed random variable
(pp. 13—14). Estimators of contrasts (pp. 14—15). Missing data
(pp. 15 16).
5 The role of mathematics 17
Limitations of mathematical deductions (p. 17). Need for test¬
ing results of mathematical deductions (pp. 17—18).
6 Simultaneous statistical inferences 19
Basic principles of simultaneous inferences (pp. 19—20).
Objections to the experimentwise confidence coefficient (p. 20).
7 The estimation of contrasts 22
Estimation of contrasts in randomized blocks and in complete
randomization; artificial examples and summary of results.
8 The analysis of variance and the F test 30
Importance of interactions (pp. 31—33). Expectations of mean
squares (pp. 30 and 32). Approximate nature of the F test
(pp. 33 34).
9 The F test in cases in which a number of mean square ratios
are computed by the same residual mean square 35
Importance of correlations between mean square ratios
(pp. 35—36). Solution of problems due to use of the F test
(pp. 36 37).
10 The regression method 38
Regression model (p. 38). Orthogonal functions (pp. 39—40).
Analysis of variance and the F test (pp. 40—52). Results of
investigations involving the use of the F test (pp. 42—43).
Simplified procedure (p. 44). Assumptions underlying the F test
(p. 44). Choice of values of treatments and use of orthogonal
polynomials (p. 45).
vii
11 The problem of gaps and the grouping of treatments 46
Expectations of gaps (p. 46). Use of mean range in detailed
analysis (pp. 46—47). Comparison of mean range in different
cases (pp. 48—49). An example of the use of mean range
(pp. 49 50).
12 The statistical treatment of fractions 51
Model of the observed random variable (pp. 51—52) Transform¬
ations (p. 52).
13 Non random experimental material 53
Replications regarded as a non random sample (p. 53). Model
of the observed random variable (p. 54) The F test (pp. 53 54).
Consequence of regarding the sample of replications as non
random (pp. 54—55).
14 Factorial experiments and the split plot design 56
Model of the observed random variable in a factorial experi¬
ment (pp. 56—57). Analysis of variance and the F test (pp. 57—
60). Importance of problem analysis (pp. 58—59). Regression
analysis (p. 59). Model of the observed random variable using
a split plot design (pp. 60—61).
15 Methods intended to yield estimators of increased precision 62
Importance of avoiding limitation of heterogeneity of experi¬
mental material (p. 62). Use of confounding, and its effects on
estimation of contrasts (pp. 62—63). Concomitant random vari¬
ables (pp. 63—65). Objections to Latin square designs (p. 65).
16 Experiments with large numbers of treatments 66
Disadvantages of incomplete blocks and lattices (pp. 66—67).
Model of the observed random variable in a split plot experi¬
ment (pp. 68—69). Use of a check treatment (pp. 68—69). Shortage
of experimental units per replication (p. 69).
17 Experiments intended to give results for practical utilization 70
Requirements and limitations (p. 70). Decisions with regard to
generality of the population (p. 71). Inadequacy of local ex¬
periments (pp. 71—72). Experiments covering a geographical
area and a number of seasons (pp. 72—74). Models of the ob¬
served random variable (pp. 74—75). Estimation of contrasts
and grouping of treatments (pp. 75—76). Use of research re¬
sources (p. 77).
18 Some supplementary matters 78
Acceptable and unacceptable arrangements (pp. 78—79). Size
of an experiment (pp. 79—80). Relative importance and func¬
tion of local and nomlocal experiments (pp. 80—81). Labora¬
tory experiments (p. 81).
Appendix Tables 83
Bibliography 87
viii
|
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| dewey-full | 001.4/24 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 001 - Knowledge |
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| discipline | Allgemeines Mathematik |
| edition | 1. publ. |
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| id | DE-604.BV005687768 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:33:09Z |
| institution | BVB |
| isbn | 0852641664 |
| language | English |
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| spelling | Ottestad, Per Verfasser aut Statistical models and their experimental application Per Ottestad 1. publ. London Griffin 1970 VIII, 88 S. txt rdacontent n rdamedia nc rdacarrier Griffin's statistical monographs and courses 25 Mathematical Statistics cabt Nomenclature cabt Muestreo (Estadística) Plan d'expérience Experimental design Statistik (DE-588)4056995-0 gnd rswk-swf Experiment (DE-588)4015999-1 gnd rswk-swf Entwurf (DE-588)4121208-3 gnd rswk-swf Statistik (DE-588)4056995-0 s Experiment (DE-588)4015999-1 s Entwurf (DE-588)4121208-3 s DE-604 Griffin's statistical monographs and courses 25 (DE-604)BV000725110 25 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003552605&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ottestad, Per Statistical models and their experimental application Griffin's statistical monographs and courses Mathematical Statistics cabt Nomenclature cabt Muestreo (Estadística) Plan d'expérience Experimental design Statistik (DE-588)4056995-0 gnd Experiment (DE-588)4015999-1 gnd Entwurf (DE-588)4121208-3 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4015999-1 (DE-588)4121208-3 |
| title | Statistical models and their experimental application |
| title_auth | Statistical models and their experimental application |
| title_exact_search | Statistical models and their experimental application |
| title_full | Statistical models and their experimental application Per Ottestad |
| title_fullStr | Statistical models and their experimental application Per Ottestad |
| title_full_unstemmed | Statistical models and their experimental application Per Ottestad |
| title_short | Statistical models and their experimental application |
| title_sort | statistical models and their experimental application |
| topic | Mathematical Statistics cabt Nomenclature cabt Muestreo (Estadística) Plan d'expérience Experimental design Statistik (DE-588)4056995-0 gnd Experiment (DE-588)4015999-1 gnd Entwurf (DE-588)4121208-3 gnd |
| topic_facet | Mathematical Statistics Nomenclature Muestreo (Estadística) Plan d'expérience Experimental design Statistik Experiment Entwurf |
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