Package QCAtools. January 3, 2017
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1 Title Helper Functions for QCA in R Version Package QCAtools January 3, 2017 Author Jirka Lewandowski <jirka.lewandowski@wzb.eu> [aut, cre] Maintainer Jirka Lewandowski <jirka.lewandowski@wzb.eu> Helper functions for Qualitative Comparative Analysis: evaluate and plot Boolean formulae on fuzzy set score data, apply Boolean operations, compute consistency and coverage measures. Depends R (>= 3.1.0) Imports stringr (>= 0.6.2), ggplot2 (>= ), directlabels (>= ), graphics, QCA (>= 2.5) License GPL (>= 3) LazyData true RoxygenNote NeedsCompilation no Repository CRAN Date/Publication :54:33 R topics documented: and consistency evaluate_dnf format_dnf formula_to_function plot.qca QCAtools xyplot Index 8 1
2 2 and and And Logical and of two conditions Logical or of two conditions Logical not of a condition and(v1, v2) or(v1, v2) not(v) v1 v2 v A vector of fuzzy set scores of cases A vector of fuzzy set scores of cases A vector of fuzzy set scores of cases the fuzzy set scores of the logical conjunction of v1 and v2 for each case, i.e. the minimum in each component the fuzzy set scores of the logical disjunction of v1 and v2 for each case, i.e. the maximum in each component the fuzzy set scores of the negation of v for each case, i.e. 1-v and(c(0,0.5,1), c(0.25, 0.75, 0.75)) or(c(0,0.5,1), c(0.25, 0.75, 0.75)) not(c(0,0.5,1))
3 consistency 3 consistency Compute the consistency value Computes the consistency score of "formula1 -> formula2" (sufficient condition) or "formula1 <- formula2" (necessary condition), depending on whether type is "->" or "<-". If type is "<->" it computes an equivalence score of formula1 and formula2 via the formula sum(min(x,y))/(sum(max(x,y)) consistency(formula1, type = "->", formula2, data) formula1 type formula2 data A string, list of strings or function representing a Boolean formula in disjunctive normal form either "->", "<-" or "<->", depending on the direction of the implication that is to be evaluated A string, list of strings or function representing a Boolean formula in disjunctive normal form A data frame where the rows represent cases and the columns the sets. Column names must be as in the formula. Details Compute a consistency score for an implication/necessity/sufficiency statement. If formula is a function, it must take a data.frame and return a vector. If formula is a string or list of strings, the following conventions hold: Set names must be capitalized in the formula and the data; if they are lowercase, they are interpreted as the negation of the set. If formula is a string, logical or is expressed as a +, and logical and as a *. If formula is a list of strings, the strings are assumed to be the dosjuncts and are concatenated with +. The formula must be in disjunctive normal form, i.e. it must be a disjunction of conjunctions of elementary or negated elementary sets. Example: A*b*C + a*b the consistency score of the implication described by formula1, type and formula2 require(qca) data(d.urban) consistency("mlc + FRB", "->", "CP", d.urban)
4 4 evaluate_dnf evaluate_dnf Evaluate a formula When given a Boolean formula (see details) and a data.frame of cases and fuzzy set score for conditions, computes for each case the score of the membership in the set described by the formula evaluate_dnf(data, formula) data formula A data frame where the rows represent cases and the columns the sets. Column names must be as in the formula. A string, list of strings or function representing a Boolean formula in disjunctive normal form Details If formula is a function, it must take a data.frame and return a vector. If formula is a string or list of strings, the following conventions hold: Set names must be capitalized in the formula and the data; if they are lowercase, they are interpreted as the negation of the set. If formula is a string, logical or is expressed as a +, and logical and as a *. If formula is a list of strings, the strings are assumed to be the dosjuncts and are concatenated with +. The formula must be in disjunctive normal form, i.e. it must be a disjunction of conjunctions of elementary or negated elementary sets. Example: A*b*C + a*b the fuzzy set score of the set described by the formula for each case in the data require(qca) data(d.urban) evaluate_dnf(d.urban, "MLC*frb + CP")
5 format_dnf 5 format_dnf Rewrite a list of clauses to a string containing a Boolean formula in disjunctive normal form Rewrite a list of clauses to a string containing a Boolean formula in disjunctive normal form format_dnf(dnf) dnf list of clauses string containing a Boolean formula in disjunctive normal form formula_to_function Convert formula to function When given a Boolean formula (in disjunctive normal form, see details), this function produces a function that takes a data.frame of a QCA data table and computes the fuzzy set score for each case of membership in the set described by the formula formula_to_function(formula) formula A string or vector of strings containing a Boolean formula in disjunctive normal form Details Set names must be capitalized in the formula and the data; if they are lowercase, they are interpreted as the negation of the set. If formula is a string, logical or is expressed as a +, and logical and as a *. If formula is a list of strings, the strings are assumed to be the dosjuncts and are concatenated with +. Disjunctive normal form means that the formula must be a disjunction of conjunctions of elementary or negated elementary sets. Example: A*b*C + a*b
6 6 QCAtools a function that takes a data.frame and computes the fuzzy set score of the set described by the formula for each case into a vector formula_to_function("a*b*c + a*b") plot.qca Plot the fuzzy set scores of the solution and the outcome against each other Plot the fuzzy set scores of the solution and the outcome against each other ## S3 method for class 'qca' plot(x,...) x an object of class qca as returned by eqmcc of the package QCA... further arguments passed on to xyplot the ggplot plot object ## Not run: require(qca) data(d.urban) solution <- eqmcc(d.urban, outcome="rt", conditions=c("mlc", "FRB", "CP", "WSR")) plot(solution) ## End(Not run) QCAtools QCAtools. Several convenience functions for QCA in R
7 xyplot 7 xyplot Plot fuzzy set score of two sets against each other Plot fuzzy set score of two sets against each other xyplot(x, y, data, labels = FALSE, main.diagonal = TRUE, anti.diagonal = FALSE) x y data labels main.diagonal anti.diagonal Formula that describes the fuzzy set to plot along the x axis Formula that describes the fuzzy set to plot along the y axis Data set of basic fuzzy set scores flag whether to label individual points with the case names flag whether to plot the main diagonal flag whether to plot the anti diagonal the ggplot plot object require(qca) data(d.urban) xyplot("mlc", "WSR", d.urban)
8 Index and, 2 consistency, 3 eqmcc, 6 evaluate_dnf, 4 format_dnf, 5 formula_to_function, 5 not (and), 2 or (and), 2 plot.qca, 6 QCAtools, 6 QCAtools-package (QCAtools), 6 xyplot, 6, 7 8
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