Statistics in geophysics generalized linear regression
Statistics in geophysics generalized linear regression
... Generalized linear models Binary regression Count data regression Components of the classical linear model Generalized linear models (GLMs) are an extension of classical linear models ... substituted into the respective model and the total number of parameters should be increased to p + Winter Term 2013/14 13/25 Generalized linear models Binary regression Count data reg...
Statistics in geophysics linear regression II
... nonlinear relationships between continuous covariates and the response within the scope of linear models Two simple methods for dealing with nonlinearity: Variable transformation; Polynomial regression ... 13.8 25 W Turkey weights in pounds, ages in weeks, and origin (Georgia (G); Virgina (V); Wisconsin (W)), of 13 Thanksgiving turkeys Winter Term 2013/14 6/28 Multiple linear regre...
Statistics in geophysics linear regression
... mid-parental height against child’s height, and regression line (dark red line) Winter Term 2013/14 3/24 Setting the scene Fitting a straight line by least squares The analysis of variance Interval estimation ... (multiple) linear regression one (two or more) predictor variable(s) is (are) assumed to affect the values of a response variable in a linear fashion For the model of simpl...
Statistics in geophysics descriptive statistics II
... −1 ≤ rSP ≤ Interpretation: rSP > 0: Y tends to increase when X increases rSP < 0: Y tends to decrease when X increases rSP = 0: No tendency for Y to either increase or decrease when X increases ... modified version The following quantities (called fences) can be used for identifying extreme values in the tails of the distribution: lower inner fence: x0.25 − 1.5 × IQR; upper inner fence: x0....
Statistics in geophysics descriptive statistics
... statistical ideas is in making sense of a set of data The goal is to extract insights about the processes underlying the generation of the numbers Descriptive statistics is the discipline of quantitatively ... finite or countable set of different values continuous: uncountable set of different values quasi-continuous: data are continuous but measured in a discrete way Winter Term 2013...
Statistics in geophysics inferential statistics II
... distribution-free) tests Winter Term 2013/14 2/27 Introduction to hypothesis testing Some commonly encountered parametric tests Sampling distribution The sampling distribution for a statistic (including the test ... it justify questioning, the claim? This problem fits neatly into the parametric setting of the binomial distribution Winter Term 2013/14 11/27 Introduction to hypothesis testing S...
Statistics in geophysics inferential statistics III
... Paired samples Two independent samples Background Tests not requiring assumptions involving specific parametric distributions for the data or for the sampling distribution of the test statistics are ... X1 , , Xn , Y1 , , Ym in ascending order Define Vi = if the i-th order statistic belongs to the X sample if the i-th order statistic belongs to the Y sample Winter Term 2013/14 9/10 Nonpar...
Statistics in geophysics inferential statistics
... defined by summing the arguments and then dividing by n Winter Term 2013/14 3/26 Estimation by Maximum Likelihood Properties of Estimators Confidence Intervals Background In 1921, R A Fisher pointed ... parameters Winter Term 2013/14 12/26 Estimation by Maximum Likelihood Properties of Estimators Confidence Intervals Evaluating estimators We have outlined reasonable techniques for finding o...
Statistics in geophysics introduction and probability theory
... 1000 1500 Days since January 1st, 2002 Winter Term 2013/14 7/32 2000 Introduction Probability Theory Course outline Probability Theory Descriptive Statistics Inferential Statistics Linear Regression ... 27/32 Introduction Probability Theory Set theory The meaning of probability Some properties of the probability function Multiplicative law of probability and inde...
Statistics in geophysics principal component analysis
... eigenvectors of ω1 , , ωr Winter Term 2013/14 8/24 Preliminaries Methodology Software Applications The aim of principal component analysis I Principal component analysis (PCA) provides a computationally ... loadings by optimizing a certain “simplicity” criterion The method of rotation emerged in Factor Analysis and was motivated both by solving the rotational indeterminacy pro...
Statistics in geophysics probability theory II
... heads obtained in the three tosses ω X (ω) HHH HHT HTH THH TTH THT HTT TTT Table: Enumeration of the value of X for each point in the sample space x P(X = x) 1/8 3/8 3/8 1/8 Table: Induced probability ... distribution describes the number of events occurring in a certain time interval and so pertains to data on counts A random variable X is defined to have a Poisson distribution, deno...
báo cáo hóa học:" Variables that influence HIV-1 cerebrospinal fluid viral load in cryptococcal meningitis: a linear regression analysis" pot
... http://www.jiasociety.org/content/12/1/33 Table 1: Evaluation of variables that influence HIV-1 cerebrospinal fluid concentrations in cryptococcal meningitis: linear regression analysis Variable HIV-1 plasma ... correlate with a higher viral load Our study also shows that viral load in cryptococcal meningitis is higher in plasma than in CSF, althoug...
Báo cáo toán học: " Two-stage source tracking method using a multiple linear regression model in the expanded phase domain" pdf
... in the expanded phase domain, Ωd The proposed method is composed of two stages: the multiple linear regression model- based LSTDE at the first stage, and the RLS-based source tracking method using ... the expanded phase follows Gaussian pdf In Figure 6, the dotted-line depicts a histogram of the expanded phase and the dashed-line shows t...
Variable selection procedures in linear regression models
... non-zero relevant fixed effects in the partial linear model setting This penalized h-likelihood incorporates variable selection procedures in the setting of mean modeling via h-likelihood A few advantages ... learning models in terms of obtaining higher estimation accuracy of the model In regression analysis, the linear model has been commonly used to link a response vari...
NON-LINEAR REGRESSION MODELS
... Multivariate models Simultaneous equations models 5.1 Non-linear 5.2 Other single equation two-stage least squares estimator 5.3 Non-linear simultaneous 5.4 Non-linear three-stage 5.5 Non-linear ... this introduction by citing general references on non-linear regression models Malinvaud (1970b) devotes one long chapter to non-linear regression models in which he discus...
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