|  | 
|  | 1 | +--- | 
|  | 2 | +title: "Output from sample grid" | 
|  | 3 | +output: html_fragment | 
|  | 4 | +--- | 
|  | 5 | + | 
|  | 6 | +```{r setup, include=FALSE} | 
|  | 7 | +knitr::opts_chunk$set(echo = FALSE) | 
|  | 8 | +``` | 
|  | 9 | + | 
|  | 10 | +# Sample output | 
|  | 11 | + | 
|  | 12 | +The results of the IC analysis are not displayed interactively but are bundled in an MS Excel file | 
|  | 13 | +that can be downloaded (see tab `Analysis`). The results of all intermediate IC steps | 
|  | 14 | +as described in [Burr, King, and Heckmann (2020)](https://doi.org/10.1080/14780887.2020.1794088) are | 
|  | 15 | +contained. The main purpose of the software is to automate the cluster identification step of the IC | 
|  | 16 | +procedure (see tab `Method`), which is a cumbersome and error-prone task if performed manually. | 
|  | 17 | +Below, an extract of the analysis results for Sylvia's grid are shown. For a more detailed epxlanation, | 
|  | 18 | +however, please refer to our publication. | 
|  | 19 | + | 
|  | 20 | +## Input data and results | 
|  | 21 | + | 
|  | 22 | +The input file for Sylvias's grid is available for download on the `Analysis` tab. Figure 1 shows the | 
|  | 23 | +raw grid data. | 
|  | 24 | + | 
|  | 25 | +{width="60%"} | 
|  | 26 | + | 
|  | 27 | +Figure 2 displayes the network graph of related contructs and discovered construct cliques, the most | 
|  | 28 | +relevant part of the output, which is subsequently used for interpretation in the next section. | 
|  | 29 | + | 
|  | 30 | +{width="60%"} | 
|  | 31 | + | 
|  | 32 | +## Interpretation | 
|  | 33 | + | 
|  | 34 | +Psychologically relevant information can be obtained from the interpretation of the network graph in | 
|  | 35 | +Figure 2. What follows is a shortened example. More comprehensive examples are outlined in our | 
|  | 36 | +[publication](https://doi.org/10.1080/14780887.2020.1794088). | 
|  | 37 | + | 
|  | 38 | +In the resulting diagram for Sylvia's grid in Figure 2, a construct is indicated by a circle, with | 
|  | 39 | +(+) denoting the preferred and (-) the non-preferred pole. The diagram shows three clusters (also | 
|  | 40 | +called cliques), indicated by the colored hulls around several constructs. In Sylvia's case, the | 
|  | 41 | +three clusters are highly overlapping. Two of these are of particular interest, sharing a 'core' of | 
|  | 42 | +three constructs -- '(+) Wild, free *vs* (-) controlled, contained', '(+) Massive sense of space, | 
|  | 43 | +expansive *vs* (-) railed-off, small world' and '(+) Freedom, wildness *vs* (-) conventional', with | 
|  | 44 | +(+) indicating the preferred and (-) the non-preferred pole. In one cluster, these three constructs | 
|  | 45 | +are strongly associated with '(+) Verdant *vs* (-) dead, nothing thriving'; the association between | 
|  | 46 | +her preferred poles suggests that she is drawn to places that are thriving and green, wild and | 
|  | 47 | +expansive, as opposed to those which lack life, are small-scale, controlled and conventional. | 
|  | 48 | +However, these three constructs share another cluster with the construct '(+) Cosy *vs* (-) | 
|  | 49 | +Chaotic', where 'cosy' is her preferred pole. In this cluster, however, her desires for the wild, | 
|  | 50 | +free and expansive appear to be in tension with her desire for the 'cosy', as they are aligned with | 
|  | 51 | +her non-preferred pole 'chaotic'. The attraction of wild, free spaces for Sylvia is therefore not | 
|  | 52 | +straightforward. | 
|  | 53 | + | 
|  | 54 | +The third cluster includes the '(+) Verdant *vs* (-) dead, nothing thriving' construct, which is | 
|  | 55 | +here associated with '(+) Exciting, a lot going on *vs* (-) flat, unvarying, depressed, | 
|  | 56 | +unenergetic', '(+) Dramatic *vs* (-) unvarying, goes on and on' and '(+) Variable *vs* (-) doesn't | 
|  | 57 | +change'. This suggests that to Sylvia 'verdant' spaces are also full of excitement, drama and | 
|  | 58 | +variability- they are full of life in these ways. However, the fact that these three constructs do | 
|  | 59 | +not cluster with the wild/expansive/freedom constructs indicates that they constitute a somewhat | 
|  | 60 | +separate idea for her. A 'wild' space for her need not be 'exciting', for example, although a | 
|  | 61 | +'verdant' space is likely to be both exciting and wild. Interpretive clustering therefore gives us | 
|  | 62 | +insight into some of the complexity of Sylvia's construing. | 
|  | 63 | + | 
|  | 64 | +```{r include=FALSE} | 
|  | 65 | +library(openxlsx) | 
|  | 66 | +library(OpenRepGrid.ic) | 
|  | 67 | +
 | 
|  | 68 | +file <- system.file("extdata", "sylvia.xlsx", package = "OpenRepGrid.ic") | 
|  | 69 | +x <- read.xlsx(file) | 
|  | 70 | +s <- calculate_similarity(x, min_matches = 6) | 
|  | 71 | +``` | 
|  | 72 | + | 
|  | 73 | +## Underlying calculations | 
|  | 74 | + | 
|  | 75 | +Also contained in the Excel ouput are the matrices generated in each step of the IC method. Some | 
|  | 76 | +details are explained on the `Method` tab. As an example, Table 1 shows the number of matches between constructs, with constructs reversal | 
|  | 77 | +beeing allowed. Thus, Construct 2 matches on three elements with Construct 1, on five elements with | 
|  | 78 | +Construct 3, on three elements with Construct 4, and so on. | 
|  | 79 | + | 
|  | 80 | +*Table 1:* Number of matches between constructs. | 
|  | 81 | + | 
|  | 82 | +```{r} | 
|  | 83 | +knitr::kable(s$R, table.attr = "style='width:60%;'") | 
|  | 84 | +``` | 
|  | 85 | + | 
|  | 86 | +The matrix of constructs relations is inferred from the matrix of construct matches, here, using a | 
|  | 87 | +minimum of 3 matches. The result is displayed in Table 2. A value of `1` denotes a positive, a value | 
|  | 88 | +of `-1` a negative construct relation. This matrix is used as a basis to build the network graph from | 
|  | 89 | +Figure 2. | 
|  | 90 | + | 
|  | 91 | +*Table 2:* Relations between constructs. | 
|  | 92 | + | 
|  | 93 | +```{r} | 
|  | 94 | +knitr::kable(s$D) | 
|  | 95 | +``` | 
|  | 96 | +The examples above give a first insight into the generated output. Yet, to fully understand and work | 
|  | 97 | +with the output, it is recommended to consult [Burr, King, and Heckmann (2020)](https://doi.org/10.1080/14780887.2020.1794088)  | 
|  | 98 | +which outlines the IC method and gives a more thorough interpretation example.  | 
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