I have a data.table with multiple columns of a variable "Performance" in specific years and a column named "ExPerf". I want to create a new column called FLAG which would indicate rows flagged for manual review based on these two conditions:
A mock data.table similar to the one I have:
library(data.table)
dt <- data.table(Id = c("N23", "N34", "N11", "N65", "N55", "N78", "N88"),
                 Name = c("ABCD", "ACBD", "ACCD", "ADBN", "ADDD", "DBCA", "CBDA"),
                 Type = c("T", "B", "B", "T", "T", "B", "B"),
                 Sold = c(500, 300, 350, 500, 350, 400, 450),
                 Bl = c(2000, 2100, 2000, 1500, 1890, 1900, 2000),
                 P_2016 = c(-200, 420, 800, 900, -10, 75, 400),
                 P_2017 = c(500, 300, -20, 700, 50, 80, 370),
                 P_2018 = c(1000, 400, 600, 800, 40, 500, 300),
                 EP_2019 = c(1500, 380, 500, 850, 30, 400, 350))
dt
Id Name Type Sold Baseline Perf_2016 Perf_2017 Perf_2018 ExpPerf_2019
N23 ABCD T   500  2000     -200      500       1000      1500
N34 ACBD B   300  2100     420       300       400       380
N11 ACCD B   350  2000     800       -20       600       500
N65 ADBN T   500  1500     900       700       800       850
N55 ADDD T   350  1890     -10       50        40        30
N78 DBCA B   400  1900     75        80        500       400
N88 CBDA B   450  2000     400       370       300       350
For this data.table the desired output would add the FLAG column as seen below:
    Id Name Type Sold Baseline Perf_2016 Perf_2017 Perf_2018 ExpPerf_2019  FLAG
1: N23 ABCD    T  500     2000      -200       500      1000         1500  TRUE
2: N34 ACBD    B  300     2100       420       300       400          380 FALSE
3: N11 ACCD    B  350     2000       800       -20       600          500  TRUE
4: N65 ADBN    T  500     1500       900       700       800          850 FALSE
5: N55 ADDD    T  350     1890       -10        50        40           30  TRUE
6: N78 DBCA    B  400     1900        75        80       500          400  TRUE
7: N88 CBDA    B  450     2000       400       370       300          350 FALSE
                
- Any of the performance columns has a negative value
 - The expected performance column is different from any of the performance columns by more than 50%.
 
In other words, there are common min and max bounds for these columns:
So...
dt[, v := !Reduce(`&`, 
  lapply(.SD, between, pmax(0, ExpPerf_2019*0.5), ExpPerf_2019*1.5)
), .SDcols=grep("^Perf_", names(dt), value=TRUE)]
    Id Name Type Sold Baseline Perf_2016 Perf_2017 Perf_2018 ExpPerf_2019     v
1: N23 ABCD    T  500     2000      -200       500      1000         1500  TRUE
2: N34 ACBD    B  300     2100       420       300       400          380 FALSE
3: N11 ACCD    B  350     2000       800       -20       600          500  TRUE
4: N65 ADBN    T  500     1500       900       700       800          850 FALSE
5: N55 ADDD    T  350     1890       -10        50        40           30  TRUE
6: N78 DBCA    B  400     1900        75        80       500          400  TRUE
7: N88 CBDA    B  450     2000       400       370       300          350 FALSE
How it works:
between checks if a column lies between the min and maxlapply applies the check to each column, returning a listReduce with & checks whether all columns meet the condition! negates the result, so we identify cases where at least one column fails the conditionbetween, & and ! are vectorized operators, so we end up with a vector of results, one for each row. I would probably write this sequence in magrittr so the steps are simpler to follow:
library(magrittr)
dt[, v := .SD %>% 
  lapply(between, pmax(0, ExpPerf_2019*0.5), ExpPerf_2019*1.5) %>%
  Reduce(f=`&`) %>%
  not
, .SDcols=grep("^Perf_", names(dt), value=TRUE)]
not is a relabeling of !, offered by magrittr for convenience.
.SD is a special symbol for the subset of data operated on inside the j part of DT[i, j, by]. In this case, there is no i or by, so only .SDcols is subsetting (to select the columns of interest).
Comment
You can use the following code to check for your two conditions:
dt[, FLAG := any(.SD < 0 | .SD < ExpPerf_2019 - .5*ExpPerf_2019 | .SD > ExpPerf_2019 + .5*ExpPerf_2019),
   by = Id,
   .SDcols = grep("^Perf", colnames(dt), value = TRUE)
   ]
The result:
> dt
    Id Name Type Sold Baseline Perf_2016 Perf_2017 Perf_2018 ExpPerf_2019  FLAG
1: N23 ABCD    T  500     2000      -200       500      1000         1500  TRUE
2: N34 ACBD    B  300     2100       420       300       400          380 FALSE
3: N11 ACCD    B  350     2000       800       -20       600          500  TRUE
4: N65 ADBN    T  500     1500       900       700       800          850 FALSE
5: N55 ADDD    T  350     1890       -10        50        40           30  TRUE
6: N78 DBCA    B  400     1900        75        80       500          400  TRUE
7: N88 CBDA    B  450     2000       400       370       300          350 FALSE
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