v3.25.2
Shareholder Report, Line Graph (Details) - USD ($)
 6 Months Ended 12 Months Ended 18 Months Ended 24 Months Ended 30 Months Ended 36 Months Ended 42 Months Ended 48 Months Ended 54 Months Ended 60 Months Ended 66 Months Ended 72 Months Ended 78 Months Ended 84 Months Ended 90 Months Ended 96 Months Ended 102 Months Ended 108 Months Ended 114 Months Ended 120 Months Ended
Jul. 31, 2015
Jan. 31, 2016
Jul. 31, 2025
Jul. 31, 2016
Jan. 31, 2017
Jul. 31, 2017
Jan. 31, 2018
Jul. 31, 2018
Jan. 31, 2019
Jul. 31, 2019
Jan. 31, 2020
Jul. 31, 2020
Jan. 31, 2021
Jul. 31, 2021
Jan. 31, 2022
Jul. 31, 2022
Jan. 31, 2023
Jul. 31, 2023
Jan. 31, 2024
Jul. 31, 2024
Jan. 31, 2025
Jul. 31, 2025
C000047995 [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     First Trust Large Cap Core AlphaDEX® Fund                                      
Accumulated Value $ 10,000 $ 8,953   $ 10,360 $ 11,096 $ 12,087 $ 13,836 $ 13,745 $ 13,008 $ 14,224 $ 14,790 $ 14,502 $ 17,293 $ 20,413 $ 20,562 $ 19,448 $ 20,447 $ 21,173 $ 22,094 $ 24,536 $ 26,825 $ 27,754
C000047996 [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     First Trust Mid Cap Core AlphaDEX® Fund                                      
Accumulated Value 10,000 8,606   10,076 11,021 11,548 13,146 13,544 12,734 13,709 13,947 12,905 17,035 19,953 19,548 18,809 19,821 20,820 21,103 24,212 25,333 24,755
C000047997 [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     First Trust Small Cap Core AlphaDEX® Fund                                      
Accumulated Value 10,000 8,555   10,220 11,336 11,858 13,169 14,196 12,935 13,270 13,315 12,136 17,630 19,958 19,827 18,661 19,308 19,810 19,709 22,680 23,548 22,577
C000047998 [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     First Trust Large Cap Value AlphaDEX® Fund                                      
Accumulated Value 10,000 8,807   10,294 11,784 12,696 14,166 13,727 13,027 13,638 14,150 12,296 14,920 17,761 18,970 18,158 19,943 19,774 20,009 22,302 22,853 23,168
C000047999 [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     First Trust Large Cap Growth AlphaDEX® Fund                                      
Accumulated Value 10,000 9,162   10,397 10,280 11,342 13,367 13,632 12,788 14,605 15,258 16,958 19,941 23,284 21,835 20,061 19,880 21,809 23,466 25,931 30,686 32,924
C000048000 [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     First Trust Multi Cap Value AlphaDEX® Fund                                      
Accumulated Value 10,000 8,634   10,198 11,661 12,182 13,475 13,435 12,621 12,949 13,231 11,364 14,577 17,540 18,419 17,753 19,342 19,384 19,776 22,245 22,323 21,906
C000048001 [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     First Trust Multi Cap Growth AlphaDEX® Fund                                      
Accumulated Value 10,002 8,959   10,268 10,463 11,484 13,428 14,104 13,119 14,760 15,224 16,270 20,884 23,444 21,637 19,949 19,883 21,645 22,212 25,213 28,947 30,011
C000048896 [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     First Trust Consumer Discretionary AlphaDEX® Fund                                      
Accumulated Value 10,000 8,694   9,767 9,770 10,264 12,101 11,719 11,319 12,086 12,205 11,190 14,834 17,345 16,337 14,149 15,801 16,544 16,647 17,615 19,504 18,970
C000048897 [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     First Trust Consumer Staples AlphaDEX® Fund                                      
Accumulated Value 10,000 9,577   10,920 10,222 10,558 11,448 10,615 10,432 10,702 11,265 11,609 12,538 13,568 15,047 15,597 15,704 16,041 15,624 16,794 16,577 16,344
C000048898 [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     First Trust Energy AlphaDEX® Fund                                      
Accumulated Value 10,000 7,709   8,733 9,675 8,297 9,270 10,492 8,166 6,739 5,552 4,156 5,589 6,926 9,087 11,481 12,016 12,214 11,664 13,202 12,239 11,707
C000048899 [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     First Trust Financials AlphaDEX® Fund                                      
Accumulated Value 10,000 8,820   10,022 11,432 12,427 13,773 13,802 13,055 14,221 14,680 11,725 16,118 20,166 21,706 19,657 21,910 20,289 21,724 25,398 28,967 29,284
C000048900 [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     First Trust Health Care AlphaDEX® Fund                                      
Accumulated Value 10,000 7,701   8,840 8,550 9,611 10,648 11,030 10,729 11,149 11,877 13,686 15,588 17,529 15,883 15,595 16,171 15,331 14,784 15,782 16,065 14,340
C000048901 [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     First Trust Industrials/Producer Durables AlphaDEX® Fund                                      
Accumulated Value 10,000 8,300   9,917 11,591 12,178 14,505 14,319 13,349 14,845 15,471 13,909 17,604 21,310 20,747 19,357 20,547 22,497 23,580 26,829 28,884 28,525
C000048902 [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     First Trust Materials AlphaDEX® Fund                                      
Accumulated Value 10,000 8,561   11,348 12,553 12,938 15,254 14,645 12,686 13,170 12,799 12,540 16,795 20,569 21,034 22,292 25,656 25,061 24,534 25,114 22,559 21,876
C000048903 [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     First Trust Technology AlphaDEX® Fund                                      
Accumulated Value 10,000 8,682   10,042 11,425 13,127 16,176 16,480 17,253 20,303 21,527 26,257 32,661 36,852 34,530 30,718 29,950 35,437 38,601 40,018 46,541 47,504
C000048904 [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     First Trust Utilities AlphaDEX® Fund                                      
Accumulated Value 10,000 10,104   12,265 12,356 12,703 12,007 12,564 13,357 14,036 14,670 13,936 14,325 16,000 16,920 18,189 18,012 17,641 16,629 19,432 21,984 25,390
C000099059 [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     First Trust Mid Cap Growth AlphaDEX® Fund                                      
Accumulated Value 10,000 8,727   10,003 10,370 11,297 13,364 14,129 13,204 15,034 15,599 16,578 22,000 23,874 21,273 19,864 19,867 21,729 21,669 24,991 27,706 27,653
C000099060 [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     First Trust Mid Cap Value AlphaDEX® Fund                                      
Accumulated Value 10,000 8,528   10,123 11,533 11,715 12,865 12,980 12,245 12,428 12,404 10,167 13,455 16,650 17,269 16,868 18,533 18,882 19,276 21,841 21,746 20,964
C000099061 [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     First Trust Small Cap Growth AlphaDEX® Fund                                      
Accumulated Value 10,000 8,803   10,353 11,051 12,125 13,657 15,260 13,787 14,663 14,494 13,961 20,977 22,370 20,901 19,057 19,114 20,273 19,253 22,694 25,458 25,629
C000099062 [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     First Trust Small Cap Value AlphaDEX® Fund                                      
Accumulated Value 10,000 8,375   10,079 11,555 11,632 12,721 13,361 12,164 12,067 12,277 10,881 15,165 17,977 18,398 17,607 18,556 18,597 19,316 21,878 21,126 19,526
Standard & Poor's 500 Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P 500® Index                                      
Accumulated Value 10,000 9,323   10,562 11,192 12,256 14,147 14,246 13,819 15,383 16,815 17,222 19,714 23,497 24,305 22,407 22,308 25,325 26,953 30,934 34,064 35,989
Russell 3000 Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Russell 3000® Index                                      
Accumulated Value 10,000 9,147   10,444 11,135 12,130 13,936 14,118 13,621 15,113 16,418 16,765 19,780 23,258 23,498 21,548 21,561 24,273 25,689 29,389 32,450 33,998
S And P Composite 1500 Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P Composite 1500® Index                                      
Accumulated Value 10,000 9,272   10,560 11,237 12,250 14,096 14,248 13,752 15,252 16,583 16,840 19,481 23,158 23,847 22,059 22,068 24,857 26,338 30,223 33,134 34,764
Russell 1000 Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Russell 1000® Index                                      
Accumulated Value 10,000 9,211   10,484 11,128 12,156 14,002 14,123 13,698 15,253 16,627 17,089 19,927 23,576 23,974 21,957 21,927 24,801 26,364 30,133 33,401 35,117
Nasdaq AlphaDEX Large Cap CoreTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq AlphaDEX Large Cap CoreTMIndex                                      
Nasdaq US 500 Large CapTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq US 500 Large CapTMIndex                                      
S And P MidCap 400 Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P MidCap 400® Index                                      
Accumulated Value 10,000 8,842   10,553 11,509 12,103 13,536 13,857 12,923 13,966 14,378 13,470 17,032 19,800 19,425 18,672 19,880 20,627 20,829 23,804 25,073 24,589
Nasdaq AlphaDEX Mid Cap CoreTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq AlphaDEX Mid Cap CoreTMIndex                                      
Nasdaq US 600 Mid CapTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq US 600 Mid CapTMIndex                                      
Nasdaq AlphaDEX Small Cap CoreTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq AlphaDEX Small Cap CoreTMIndex                                      
Nasdaq US 700 Small CapTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq US 700 Small CapTMIndex                                      
S And P SmallCap 600 Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P SmallCap 600® Index                                      
Accumulated Value 10,000 8,906   10,595 11,964 12,467 13,945 15,348 13,772 14,313 14,677 13,071 18,079 20,516 20,005 19,237 19,818 20,248 20,175 23,102 23,495 22,013
Nasdaq AlphaDEX Large Cap ValueTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq AlphaDEX Large Cap ValueTMIndex                                      
Nasdaq US 500 Large Cap ValueTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq US 500 Large Cap ValueTMIndex                                      
S And P 500 Value Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P 500® Value Index                                      
Accumulated Value 10,000 9,220   10,578 11,455 12,095 13,673 13,357 12,977 14,195 15,353 13,808 15,731 18,735 19,640 18,731 20,246 21,945 23,196 25,626 26,721 27,059
Nasdaq US 500 Large Cap Growth [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq US 500 Large Cap GrowthTMIndex                                      
Nasdaq AlphaDEX Large Cap GrowthTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq AlphaDEX Large Cap GrowthTMIndex                                      
S And P 500 Growth Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P 500® Growth Index                                      
Accumulated Value 10,000 9,408   10,528 10,908 12,316 14,472 14,977 14,514 16,409 18,102 20,437 23,500 28,020 28,570 25,463 23,247 27,501 29,451 34,904 39,987 43,849
Nasdaq AlphaDEX Multi Cap ValueTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq AlphaDEX Multi Cap ValueTMIndex                                      
Nasdaq US Multi Cap ValueTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq US Multi Cap ValueTMIndex                                      
S And P Composite 1500 Value Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P Composite 1500® Value Index                                      
Accumulated Value 10,000 9,185   10,602 11,527 12,134 13,676 13,456 13,006 14,167 15,239 13,630 15,746 18,769 19,621 18,749 20,287 21,843 22,964 25,402 26,525 26,736
Nasdaq AlphaDEX Multi Cap GrowthTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq AlphaDEX Multi Cap GrowthTMIndex                                      
Nasdaq US Multi Cap GrowthTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq US Multi Cap GrowthTMIndex                                      
S And P Composite 1500 Growth Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P Composite 1500® Growth Index                                      
Accumulated Value 10,000 9,345   10,507 10,930 12,272 14,376 14,893 14,359 16,182 17,753 19,848 23,012 27,290 27,667 24,773 22,818 26,766 28,554 33,783 38,375 41,713
Russell 1000 Consumer Discretionary Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Russell 1000® Consumer Discretionary Index                                      
Accumulated Value 10,000 9,205   10,281 10,715 11,702 13,916 14,169 14,013 15,762 16,660 18,995 23,503 25,636 24,988 21,660 20,761 23,662 24,336 27,011 33,858 33,136
StrataQuant Consumer Discretionary Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     StrataQuant® Consumer Discretionary Index                                      
Accumulated Value 10,000 8,720   9,825 9,860 10,393 12,293 11,941 11,566 12,394 12,562 11,539 15,349 18,005 16,997 14,764 16,551 17,383 17,552 18,623 20,654 20,161
StrataQuant Consumer Staples Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     StrataQuant® Consumer Staples Index                                      
Accumulated Value 10,000 9,602   10,985 10,316 10,690 11,630 10,825 10,668 10,986 11,606 12,003 13,000 14,111 15,662 16,287 16,455 16,852 16,467 17,757 17,580 17,388
Russell 1000 Consumer Staples Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Russell 1000® Consumer Staples Index                                      
Accumulated Value 10,000 10,202   11,146 10,921 11,554 11,916 11,114 11,188 12,239 13,206 13,038 13,589 15,307 16,881 16,713 16,914 17,630 17,033 18,155 18,046 18,821
S And P 500 Consumer Staples Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P 500® Consumer Staples Index                                      
Accumulated Value 10,000 10,248   11,167 10,907 11,659 12,371 11,590 11,737 13,287 14,290 14,369 14,955 16,984 18,452 18,247 18,427 19,229 18,971 20,753 21,900 22,297
S And P 500 Consumer Discretionary Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P 500® Consumer Discretionary Index                                      
Accumulated Value 10,000 9,333   10,353 10,871 11,793 14,023 14,564 14,262 15,915 16,659 19,345 22,152 24,449 24,794 21,931 19,881 23,561 23,744 26,432 33,436 31,596
StrataQuant Energy Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     StrataQuant® Energy Index                                      
Accumulated Value 10,000 7,710   8,749 9,730 8,376 9,397 10,674 8,314 6,885 5,698 4,260 5,761 7,163 9,445 11,982 12,558 12,823 12,277 13,942 12,965 12,437
S And P 500 Energy Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P 500® Energy Index                                      
Accumulated Value 10,000 8,691   10,204 11,003 10,223 11,729 12,239 10,282 10,282 9,201 6,347 7,121 9,167 12,638 15,349 18,078 17,845 17,288 19,657 18,726 19,027
Russell 1000 Energy Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Russell 1000® Energy Index                                      
Accumulated Value 10,000 8,508   9,935 10,736 9,889 11,341 11,942 9,968 9,843 8,795 6,144 7,103 9,032 12,090 14,911 17,185 16,905 16,238 18,530 17,827 18,084
StrataQuant Financials Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     StrataQuant® Financials Index                                      
Accumulated Value 10,000 8,844   10,087 11,546 12,589 14,002 14,079 13,357 14,602 15,128 12,128 16,729 21,012 22,695 20,607 23,035 21,391 22,988 26,964 30,851 31,281
S And P 500 Financials Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P 500® Financials Index                                      
Accumulated Value 10,000 8,737   9,623 11,798 12,797 15,313 14,521 13,614 15,024 16,100 13,099 15,975 20,332 21,952 19,118 20,978 20,470 22,680 25,815 30,623 31,376
Russell 1000 Financials Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Russell 1000® Financials Index                                      
Accumulated Value 10,000 8,866   9,861 11,330 12,384 14,375 14,178 13,730 15,569 16,761 14,636 17,739 22,367 24,263 21,255 23,267 23,064 25,578 29,986 35,263 36,725
StrataQuant Health Care Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     StrataQuant® Health Care Index                                      
Accumulated Value 10,000 7,722   8,892 8,624 9,727 10,812 11,239 10,967 11,441 12,229 14,142 16,157 18,226 16,561 16,320 16,975 16,148 15,617 16,726 17,080 15,274
S And P 500 Health Care Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P 500® Health Care Index                                      
Accumulated Value 10,000 8,610   9,858 9,358 10,688 11,879 12,186 12,520 12,826 14,069 15,441 17,180 19,686 19,214 19,398 19,697 20,010 21,026 22,620 22,548 20,377
Russell 1000 Health Care Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Russell 1000® Health Care Index                                      
Accumulated Value 10,000 8,770   10,001 9,442 10,802 12,024 12,240 12,584 12,764 14,107 15,159 16,684 19,302 19,348 19,652 19,964 20,248 21,390 22,979 22,747 20,082
StrataQuant Industrials Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     StrataQuant® Industrials Index                                      
Accumulated Value 10,000 8,323   9,982 11,733 12,368 14,780 14,637 13,675 15,259 15,956 14,394 18,276 22,198 21,683 20,287 21,636 23,765 24,994 28,533 30,821 30,530
S And P 500 Industrials Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P 500® Industrials Index                                      
Accumulated Value 10,000 9,459   11,046 12,096 13,068 15,201 14,766 13,947 15,295 16,121 14,424 17,212 21,120 20,753 19,848 21,355 23,345 24,108 27,493 30,011 33,177
Russell 1000 Industrials Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Russell 1000® Industrials Index                                      
Accumulated Value 10,000 9,339   10,869 12,005 13,025 15,309 14,960 14,185 15,699 16,511 14,825 17,741 21,740 20,625 18,898 19,917 21,427 22,584 25,316 28,154 29,190
StrataQuant Materials Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     StrataQuant® Materials Index                                      
Accumulated Value 10,000 8,586   11,424 12,678 13,113 15,518 14,951 12,988 13,538 13,209 12,987 17,461 21,454 22,016 23,418 27,020 26,466 25,993 26,692 24,041 23,429
S And P 500 Materials Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P 500® Materials Index                                      
Accumulated Value 10,000 8,584   10,840 11,719 12,420 14,444 13,840 12,480 13,820 13,829 14,689 17,369 20,788 21,099 19,736 21,653 22,136 21,487 24,287 23,602 23,597
Russell 1000 Basic Materials Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Russell 1000® Basic Materials Index                                      
Accumulated Value 10,000 8,732   11,102 12,078 12,779 14,796 14,252 12,815 14,157 14,219 14,963 17,273 21,090 20,827 19,925 22,609 22,837 22,305 24,522 23,595 24,590
StrataQuant Technology Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     StrataQuant Technology® Index                                      
Accumulated Value 10,000 8,711   10,109 11,497 13,249 16,383 16,746 17,533 20,700 22,035 26,967 33,671 38,125 35,834 31,964 31,248 37,085 40,400 41,996 49,005 50,193
S And P 500 Information Technology Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P 500® Information Technology Index                                      
Accumulated Value 10,000 9,714   10,978 12,134 14,213 17,365 18,261 17,207 21,132 25,136 29,354 34,471 41,106 43,581 38,844 36,742 49,271 55,145 66,615 70,365 82,360
Russell 1000 Technology Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Russell 1000® Technology Index                                      
Accumulated Value 10,000 9,592   10,914 12,122 14,115 17,185 18,041 17,227 20,533 24,220 28,745 34,364 41,749 43,198 36,800 33,923 47,471 53,092 63,795 70,653 80,477
StrataQuant Utilities Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     StrataQuant® Utilities Index                                      
Accumulated Value 10,000 10,142   12,362 12,497 12,889 12,222 12,840 13,699 14,422 15,120 14,387 14,846 16,638 17,638 19,063 18,931 18,604 17,592 20,630 23,436 27,160
S And P 500 Utilities Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P 500® Utilities Index                                      
Accumulated Value 10,000 10,540   12,311 11,827 13,013 12,693 13,381 14,100 15,593 18,371 16,503 17,150 18,488 19,700 21,367 20,271 19,991 18,642 22,463 24,420 27,236
Russell 1000 Utilities Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Russell 1000® Utilities Index                                      
Accumulated Value 10,000 10,587   12,467 12,071 12,578 12,633 12,722 13,309 14,598 16,700 15,080 15,933 17,415 18,451 19,950 18,974 18,849 17,955 21,663 23,565 26,212
Nasdaq AlphaDEX Mid Cap GrowthTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq AlphaDEX Mid Cap GrowthTMIndex                                      
Nasdaq US 600 Mid Cap GrowthTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq US 600 Mid Cap GrowthTMIndex                                      
S And P MidCap 400 Growth Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P MidCap 400® Growth Index                                      
Accumulated Value 10,000 8,811   10,332 10,948 11,749 13,438 13,671 12,622 13,920 14,407 14,667 18,235 20,293 19,076 18,008 18,477 19,774 20,194 23,593 24,379 24,121
S And P MidCap 400 Value Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P MidCap 400® Value Index                                      
Accumulated Value 10,000 8,872   10,780 12,049 12,388 13,525 13,936 13,143 13,906 14,223 12,043 15,566 18,887 19,308 18,876 20,840 20,944 20,921 23,326 25,071 24,334
Nasdaq AlphaDEX Mid Cap ValueTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq AlphaDEX Mid Cap ValueTMIndex                                      
Nasdaq US 600 Mid Cap ValueTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq US 600 Mid Cap ValueTMIndex                                      
Nasdaq AlphaDEX Small Cap GrowthTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq AlphaDEX Small Cap GrowthTMIndex                                      
Nasdaq US 700 Small Cap GrowthTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq US 700 Small Cap GrowthTMIndex                                      
S And P SmallCap 600 Growth Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P SmallCap 600® Growth Index                                      
Accumulated Value 10,000 8,852   10,328 11,586 12,238 13,742 15,362 13,886 14,623 15,170 14,392 19,599 21,459 20,323 19,273 19,136 20,058 20,367 23,725 23,817 22,743
S And P SmallCap 600 Value Index [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     S&P SmallCap 600® Value Index                                      
Accumulated Value $ 10,000 $ 8,965   $ 10,894 $ 12,372 $ 12,703 $ 14,151 $ 15,336 $ 13,686 $ 14,036 $ 14,202 $ 11,746 $ 16,540 $ 19,437 $ 19,498 $ 18,999 $ 20,294 $ 20,189 $ 19,710 $ 22,162 $ 22,805 $ 20,955
Nasdaq US 700 Small Cap ValueTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq US 700 Small Cap ValueTMIndex                                      
Nasdaq AlphaDEX Small Cap ValueTMIndex [Member]                                            
Account Value [Line Items]                                            
Line Graph and Table Measure Name     Nasdaq AlphaDEX Small Cap ValueTMIndex