A concise guide to statistics / Hans-Michael Kaltenbach.
| Author/creator | Kaltenbach, Hans-Michael |
| Format | Electronic |
| Publication Info | Heidelberg ; New York : Springer, |
| Description | xiii, 111 p. : ill. ; 24 cm. |
| Supplemental Content | Full text available from Springer Books |
| Supplemental Content | Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2012 English International |
| Subjects |
| Series | Springerbriefs in statistics SpringerBriefs in statistics. ^A1256558 |
| Contents | 1. Basics of probability theory -- Probability and events -- Random variables -- The normal distribution -- Important distributions and their relations -- Quantiles -- Moments -- Expectation -- Variance and standard deviation -- Z-scores -- Covariance and independence -- General moments : skewness and kurtosis -- Important limit theorems -- Visualizing distributions -- Summaries -- Plotting empirical distributions -- Quantile-quantile plots -- Barplots and boxplots -- 2. Estimation -- Introduction -- Constructing estimators -- Maximum-likelihood -- Least-squares -- Properties of estimators -- Confidence intervals -- The bootstrap -- Robust estimation -- Location : median and k-trimmed mean -- Scale : MAD and IQR -- Minimax estimation and missing observations -- Loss and risk -- Minimax estimators -- Fisher-information and Cramér-Rao bound -- 3. Hypothesis testing -- Introduction -- The general procedure -- Testing the mean of normally distributed data -- Known variance -- Unknown variance : t-tests --Testing equality of distributions : Kolmogorov-Smirnov -- Testing for normality : Shapiro-Wilks -- Testing location : Wilcoxon -- Testing multinomial probabilities -- Testing goodness-of-fit -- Sensitivity and specificity -- Multiple testing -- Bonferroni-Correction -- False-Discovery-Rate (FDR) -- Combining results of multiple experiments -- 4. Regression -- Introduction -- Classes of regression problems -- Linear regression : one covariate -- Linear regression : multiple covariates -- Robust regression -- Analysis-of-variance -- Interpreting error bars. |
| Bibliography note | Includes bibliographical references and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2011937427 |
| ISBN | 9783642235016 |
| ISBN | 3642235018 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |