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## Multivariate Data Analysis

#### Evaluating the strength of two or more variables

Application of methods that deal with reasonably large numbers of measurements made on each object in one or more samples simultaneously”.Many statistical techniques focus on just one or two variables. Multivariate analysis techniques help to analyse more than two variables at once. The final goal of these analyses is both information or prediction, i.e., more than just discovering an association.

Analysis of dependence:- Where one or more variables are dependent variables, to be explained or predicted by others. e.g. Discriminant analysis, Multiple regression, Manova, Partial Least Square.

Analysis of interdependence:- No variables thought of as “dependent”. Resemble at the associations among independent and dependent variables, objects or cases. Example: a principal component analysis.cluster analysis, factor analysis. ### Sample output of Regression Analysis done using SPSS Software The prediction equation is: Y' = A+BX, where Y' = the predicted dependent variable, A = Constant, B = unstandardized regression coefficient, and X = value of the predictor variable. To predict the students’ GPA scores from their reading scores use the values presented in the Unstandardized Coefficients column. Using the Constant and B values, the prediction equation would be: Predicted GPA = –0.111 + (0.061 × READ) Thus, the student who has a reading score of 56, the predicted GPA score will be: Predicted GPA = –0.111 + (0.061 × 56)= 3.31 However, in the Model Summary table, the Standard Error of the Estimate is 0.32848. This means that at the 95% confidence interval, the predicted GPA the score of 3.31 lies between the scores of 2.66 (3.31 – (1.96 × 0.32848)) and 3.95 (3.31 + (1.96 × 0.32848)).

# Multivariate techniques commonly used

PhDstatistics uses effective methods to reach at the solution using various multivariate analysis techniques by leveraging full use to tools and statistics used by the best statisticians ### Cluster Analysis

Methods for classifying separate groups of related cases. Also applied to compile data by representing segments of similar cases in the data. This technique of cluster analysis is known as “dissection. ### Discriminant Analysis

Is a statistical method for analysing individuals or objects into exhaustive groups and mutually exclusive on the basis of a set of independent variables. ### Factor Analysis (FA)

“Statistical approach used to explain the variability between examined variables in words of a probably lower number of unobserved variables which are called factors”. Factor analysis attempts to ### CHAID

It is a type of decision tree technique, based on the method of adjusted significance testing that is Bonferroni testing. In application, CHAID is usually used in direct marketing where selecting groups of ### Regression Analysis

Refers to any techniques for modelling and investigating several variables, when the focus is on the relationship between a dependent variable and one or more independent variables. Benefits to learn how ### Correspondence Analysis

The technique that generates graphical illustrations of the interactions between modalities (or "categories") of two categorical variables. It allows the visual discovery and interpretation of these interactions, that is, ### Structural Equation Modelling

StructuralEquation Modelling (SEM) is a statistical technique for testing and estimating causal relations using a combination of statistical data and qualitative causal assumptions. Attains beneficial ### Statis

Statis is applied when at least one dimension of the three-way table is common to all tables. The first step of the method performs a PCA of each table and generates a similarity table between the units for each table.

## Achieving efficient and robust results

PhDstatistics has come up with an effective agenda to reach beneficiaries such as integrity of data, confidentiality and quality of analysis by leveraging the following steps: ### Prioritizing areas as per the expertise

Although data management could seem harrowing to undertake, one need not apply a big bang approach to it. Instead we at PhDstatistics try to prioritize on target areas in need of improved results as per the study ### Reliable and robust solutions

Thanks to our experts with diverse information and access to different variables softwares to make your statistical analysis at the best possible manner by integrating all the resources together. ### Integrating statistical work

A researcher will have greater insights into the data, but it could be tedious for one to understand the integrity of the same in terms of situations where quality issues could continue or worsen. We aid in providing all sorts of integrations.