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each question by default should be solved individually unless marked as collaborative questions marked as collaborative implies that for those
who invented the chi square test and why what is central chi square and non central chi square test what is distribution free
your company operates a machine shop and having heard you had experience in statistics and design of experiments consulted you for your opinion
factor analysis fa explains variability among observed random variables in terms of fewer unobserved random variables called factors the observed
in pca the eigknvalues must ultimately account for all of the variance there is no probabilityno hypothesis no test because strictly speaking pca is
henry kaiser suggested a rule for selecting a number of components m less than the number needed for perfect reconstruction set m equal to the number
while there are p original variables the number of principal components is m such that m lt p it may happen that m principal components will
pca is a linear transformation that transforms the data to a new coordinate system such that the greatest variance by any projection of the data
the pca is amongst the oldest of the multivariate statistical methods of data reduction it is a technique for simplifying a dataset by reducing
as one of the oldest multivariate statistical methods of data reduction principal component analysis pcasimplifies a dataset by producing
in the context of multivariate data analysis one might be faced with a large number of vampiables that are correlated with each other eventually
correspondence analysis is an exploratory technique used to analyze simple two-way and multi-way tables containing measures of correspondence
canonical correlation analysis cc allows the investigation of the relationship between two sets of variables for example a sociologist may want to
confirmatory factor analysis cfa seeks to determine whether the number of factors and the loadings of measured indicator variables on them conform to
discriminant analysis da helps to determine which variables discriminate between two or more naturally occurring groups mathematically equivalent to
multivariate analysis of variance manova is a technique to assess group differences across multiple metric dependent variables simultaneously based
in reduced rank regression rrr the dependent variables are first submitted to a pca and the scores of the units are then used as
these techniques are applied when the rows and the columns of the data table represent the same units and when the measure is a disiance or a
correspondence analysis ca is a generalization of pca to contingency tables the factors of correspondence analysis give an orthogonal decomposiion of
multivariate analysis involves a set of techniques to analyse data sets on more than one variable many of these techniques are modern and often
now lets look at a different linear combination suppose we are interested n comparing the average mean log income for no college education lt 12 12
for the following questions we are interested in a comparison of the 16 years education vs gt 16 years recall we did the analysis on the log scale so
old faithful geyser in yellowstone national park derives its names and fame from the regularity and beauty of its eruptions rangers usually post the
try different numbers of clusters in your program k215 and build a plot that shows the dependency between number k and value of rss function on the
cluster analysis could be also represented more formally as optimization procedure which tries to minimize the residual sum of squares objective