Applications Application of Statistics By Dr A V

Applications Application of Statistics By Dr. A. V. S. S. Anand 7: 47 PM 1

Applications Role of data in knowledge development Ø Ø Ø Data is known to be crude information and not knowledge by itself. Data becomes information, when relevant to decision problem. Information becomes fact, when the data can support it. Facts are what the data reveals. Fact becomes knowledge, when used in the successful completion of a decision process using statistical tools. 7: 47 PM 2

Applications Role of data in knowledge development 7: 47 PM 3

Applications Statistics Ø Statistics: vscience of data vstudy of uncertainty Ø Modern society: v Statistical thinking: to make the strongest possible conclusions from limited amounts of data. 7: 47 PM 4

Applications Statistics Organize & summarize data Reach inferences (sample population) Statistics: Descriptive statistics Inferential statistics 7: 47 PM 5

Applications Descriptive statistics Ø Ø Ø 7: 48 PM Grouped data the frequency distribution Measures of central tendency Measures of dispersion (dispersion) Measures of position Measures of shape of distribution: graphs, skewness, kurtosis 6

Applications Inferential statistics ØEstimation ØHypothesis testing reaching a decision v. Parametric statistics v. Non-parametric statistics << Distribution-free statistic ØSimulation, Modeling, Predicting 7: 48 PM 7

Applications Inferential statistics ØEstimation ØHypothesis testing reaching a decision v. Parametric statistics v. Non-parametric statistics << Distribution-free statistic ØSimulation, Modeling, Predicting 7: 48 PM 8

Applications Application of statistics Ø Almost in all aspects of ground water science statistics is being applied. Ø Application of statistics in analysis of water level data is recent in comparison to water quality where advanced statistics like multivariate analysis is being applied. 7: 48 PM 9

Applications Application of statistics Primary Data of CGWB/ GWD Ø Aquifer Geometry Ø Aquifer Properties Ø Geophysical Data Ø Water Level Data Ø Water Quality Data Ø Ground Water Resources Data 7: 48 PM 10

Applications Application of statistics Static Data Ø Aquifer Top Ø Aquifer Bottom Ø Aquifer K/T Ø Aquifer S/Sy Ø Geophysical Parameters 7: 48 PM 11

Applications Application of statistics Dynamic Data Ø Water Level Data Ø Water Quality Data Ø Ground Water Resources Data 7: 48 PM 12

Applications Application of statistics Static Data Ø Interpolation Ø Limited Descriptive Statistics For Qualitative Data 7: 48 PM 13

Application of statistics Dynamic Data Univariate Statistics v Measures of Central Tendencies v Measures of Dispersion v Measures of Position Ø Bivariate Statistics v Correlation v Regression Ø Multivariate Statistics v Cluster Analysis v Principal Component Analysis Applications Ø Ø Time Series Analysis 7: 48 PM 14

Applications Application of statistics Dynamic Data Ø Hypothesis Testing Ø ANOVA Ø Simulation Ø Modelling v MA v ARIMA 7: 48 PM 15

Applications Application of Statistics 7: 48 PM 16