Disturbances in the linear model, estimation and hypothesis testing: Estimation and Hypothesis Testing
1. 1. The general linear model All econometric research is based on a set of numerical data relating to certain economic quantities, and makes infer ences from the data about the ways in which these quanti ties are related (Malinvaud 1970, p. 3). The linear relation is frequently encountered in ap...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer US
1978
|
| Edition: | 1st ed. 1978 |
| Subjects: | |
| Online Access: | BTU01 Volltext |
| Summary: | 1. 1. The general linear model All econometric research is based on a set of numerical data relating to certain economic quantities, and makes infer ences from the data about the ways in which these quanti ties are related (Malinvaud 1970, p. 3). The linear relation is frequently encountered in applied econometrics. Let y and x denote two economic quantities, then the linear relation between y and x is formalized by: where {31 and {32 are constants. When {31 and {32 are known numbers, the value of y can be calculated for every given value of x. Here y is the dependent variable and x is the explanatory variable. In practical situations {31 and {32 are unknown. We assume that a set of n observations on y and x is available. When plotting the ob served pairs (x l' YI)' (x ' Y2)' . . . , (x , Y n) into a diagram with x 2 n measured along the horizontal axis and y along the vertical axis it rarely occurs that all points lie on a straight line. Generally, no b 1 and b exist such that Yi = b + b x for i = 1,2, . . . ,n. Unless 2 l 2 i the diagram clearly suggests another type of relation, for instance quadratic or exponential, it is customary to adopt linearity in order to keep the analysis as simple as possible |
| Physical Description: | 1 Online-Ressource (108 p) |
| ISBN: | 9781468469561 |
| DOI: | 10.1007/978-1-4684-6956-1 |
Staff View
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| 520 | |a 1. 1. The general linear model All econometric research is based on a set of numerical data relating to certain economic quantities, and makes infer ences from the data about the ways in which these quanti ties are related (Malinvaud 1970, p. 3). The linear relation is frequently encountered in applied econometrics. Let y and x denote two economic quantities, then the linear relation between y and x is formalized by: where {31 and {32 are constants. When {31 and {32 are known numbers, the value of y can be calculated for every given value of x. Here y is the dependent variable and x is the explanatory variable. In practical situations {31 and {32 are unknown. We assume that a set of n observations on y and x is available. When plotting the ob served pairs (x l' YI)' (x ' Y2)' . . . , (x , Y n) into a diagram with x 2 n measured along the horizontal axis and y along the vertical axis it rarely occurs that all points lie on a straight line. Generally, no b 1 and b exist such that Yi = b + b x for i = 1,2, . . . ,n. Unless 2 l 2 i the diagram clearly suggests another type of relation, for instance quadratic or exponential, it is customary to adopt linearity in order to keep the analysis as simple as possible | ||
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| index_date | 2024-07-03T15:15:39Z |
| indexdate | 2024-07-10T08:56:12Z |
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| isbn | 9781468469561 |
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| spelling | Dubbelman, C. Verfasser aut Disturbances in the linear model, estimation and hypothesis testing Estimation and Hypothesis Testing by C. Dubbelman 1st ed. 1978 New York, NY Springer US 1978 1 Online-Ressource (108 p) txt rdacontent c rdamedia cr rdacarrier 1. 1. The general linear model All econometric research is based on a set of numerical data relating to certain economic quantities, and makes infer ences from the data about the ways in which these quanti ties are related (Malinvaud 1970, p. 3). The linear relation is frequently encountered in applied econometrics. Let y and x denote two economic quantities, then the linear relation between y and x is formalized by: where {31 and {32 are constants. When {31 and {32 are known numbers, the value of y can be calculated for every given value of x. Here y is the dependent variable and x is the explanatory variable. In practical situations {31 and {32 are unknown. We assume that a set of n observations on y and x is available. When plotting the ob served pairs (x l' YI)' (x ' Y2)' . . . , (x , Y n) into a diagram with x 2 n measured along the horizontal axis and y along the vertical axis it rarely occurs that all points lie on a straight line. Generally, no b 1 and b exist such that Yi = b + b x for i = 1,2, . . . ,n. Unless 2 l 2 i the diagram clearly suggests another type of relation, for instance quadratic or exponential, it is customary to adopt linearity in order to keep the analysis as simple as possible Economics, general Economics Management science Testtheorie (DE-588)4131939-4 gnd rswk-swf Schätztheorie (DE-588)4121608-8 gnd rswk-swf Schätztheorie (DE-588)4121608-8 s DE-604 Testtheorie (DE-588)4131939-4 s Erscheint auch als Druck-Ausgabe 9789020707724 Erscheint auch als Druck-Ausgabe 9780898380941 Erscheint auch als Druck-Ausgabe 9781468469578 https://doi.org/10.1007/978-1-4684-6956-1 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Dubbelman, C. Disturbances in the linear model, estimation and hypothesis testing Estimation and Hypothesis Testing Economics, general Economics Management science Testtheorie (DE-588)4131939-4 gnd Schätztheorie (DE-588)4121608-8 gnd |
| subject_GND | (DE-588)4131939-4 (DE-588)4121608-8 |
| title | Disturbances in the linear model, estimation and hypothesis testing Estimation and Hypothesis Testing |
| title_auth | Disturbances in the linear model, estimation and hypothesis testing Estimation and Hypothesis Testing |
| title_exact_search | Disturbances in the linear model, estimation and hypothesis testing Estimation and Hypothesis Testing |
| title_exact_search_txtP | Disturbances in the linear model, estimation and hypothesis testing Estimation and Hypothesis Testing |
| title_full | Disturbances in the linear model, estimation and hypothesis testing Estimation and Hypothesis Testing by C. Dubbelman |
| title_fullStr | Disturbances in the linear model, estimation and hypothesis testing Estimation and Hypothesis Testing by C. Dubbelman |
| title_full_unstemmed | Disturbances in the linear model, estimation and hypothesis testing Estimation and Hypothesis Testing by C. Dubbelman |
| title_short | Disturbances in the linear model, estimation and hypothesis testing |
| title_sort | disturbances in the linear model estimation and hypothesis testing estimation and hypothesis testing |
| title_sub | Estimation and Hypothesis Testing |
| topic | Economics, general Economics Management science Testtheorie (DE-588)4131939-4 gnd Schätztheorie (DE-588)4121608-8 gnd |
| topic_facet | Economics, general Economics Management science Testtheorie Schätztheorie |
| url | https://doi.org/10.1007/978-1-4684-6956-1 |
| work_keys_str_mv | AT dubbelmanc disturbancesinthelinearmodelestimationandhypothesistestingestimationandhypothesistesting |