Fortune's dodge testing, 7/27/2017.  Does dual wielding or two-handing affect how well you dodge?

25 strength, 16 dexterity
86 fi.me.polearm bonus
472 fi.sp.tactics bonus
600 fi.de.dodging bonus

The 3 trials below used the following things:
attitude = neutral.  response = dodge.  attack = left.
Fighting the same temple guardian in front of the temple of Soyin, wielding a Giant wooden club (12 7/9 lbs)
I never let my HP fall below 70%

WEAPON + SHIELD
Left hand (attacking): spiked black pole (9 3/9 lbs). Right hand (doing nothing): large premium KS wall shield (12 5/9 lbs). 17% burden
Full Combat Stats for stat set 1 'Set One':
Stat:                     Enemies:      You:
=-=-==-=-=-=-=-=-=-=-=-=  =-=-=-=-=-=-  =-=-=-=-=-=-
Total Kills:              0             0
Total Rounds:             -             838
..Hits Per Round:         1.19          0.51
..Kills Per Round:        0.00          0.00
Total Special Prepares:   -             0
...Successful Prepares:   -             0 [0%]
...Failed Prepares:       -             0 [0%]
Total Specials Against:   0             0
...Specials Landed On:    0 [0%]        0 [0%]
...Specials Defended By:  0 [0%]        0 [0%]
Total Hit Attempts:       1001          429
...Hits Landed:           108 [10.8%]   2 [0.5%]
...Hits Defended:         427 [99.5%]   893 [89.2%]
......Dodged:             0 [0.0%]      550 [61.6%]
.........Barely:          0 [0%]        163 [29.6%]
.........Average:         0 [0%]        364 [66.2%]
.........Good:            0 [0%]        23 [4.2%]
.........Somehow Avoid:   0 [0%]        0 [0.0%]
......Parried:            426 [99.8%]   0 [0.0%]
.........Barely:          0 [0.0%]      0 [0%]
.........Average:         95 [22.3%]    0 [0%]
.........Good:            331 [77.7%]   0 [0%]
......Blocked:            0 [0.0%]      0 [0.0%]
.........Barely:          0 [0%]        0 [0%]
.........Average:         0 [0%]        0 [0%]
.........Good:            0 [0%]        0 [0%]
......Zone Focus:         0 [0.0%]      0 [0.0%]
......TPA:                0 [0.0%]      0 [0.0%]
......Major:              0 [0.0%]      0 [0.0%]
......Bug Shield:         0 [0.0%]      0 [0.0%]
......EFF:                0 [0.0%]      0 [0.0%]
......CCC Full Absorb:    0 [0.0%]      0 [0.0%]
......Armour Full Absorb: 1 [0.2%]      343 [38.4%]

TWO-HANDING
Both hands: spiked black pole (9 3/9 lbs). 16% burden
Full Combat Stats for stat set 2 'Set Two':
Stat:                     Enemies:      You:
=-=-==-=-=-=-=-=-=-=-=-=  =-=-=-=-=-=-  =-=-=-=-=-=-
Total Kills:              0             0
Total Rounds:             -             844
..Hits Per Round:         1.19          0.62
..Kills Per Round:        0.00          0.00
Total Special Prepares:   -             0
...Successful Prepares:   -             0 [0%]
...Failed Prepares:       -             0 [0%]
Total Specials Against:   0             0
...Specials Landed On:    0 [0%]        0 [0%]
...Specials Defended By:  0 [0%]        0 [0%]
Total Hit Attempts:       1002          520
...Hits Landed:           70 [7.0%]     1 [0.2%]
...Hits Defended:         519 [99.8%]   932 [93.0%]
......Dodged:             0 [0.0%]      627 [67.3%]
.........Barely:          0 [0%]        190 [30.3%]
.........Average:         0 [0%]        397 [63.3%]
.........Good:            0 [0%]        40 [6.4%]
.........Somehow Avoid:   0 [0%]        0 [0.0%]
......Parried:            517 [99.6%]   0 [0.0%]
.........Barely:          1 [0.2%]      0 [0%]
.........Average:         151 [29.2%]   0 [0%]
.........Good:            365 [70.6%]   0 [0%]
......Blocked:            0 [0.0%]      0 [0.0%]
.........Barely:          0 [0%]        0 [0%]
.........Average:         0 [0%]        0 [0%]
.........Good:            0 [0%]        0 [0%]
......Zone Focus:         0 [0.0%]      0 [0.0%]
......TPA:                0 [0.0%]      0 [0.0%]
......Major:              0 [0.0%]      0 [0.0%]
......Bug Shield:         0 [0.0%]      0 [0.0%]
......EFF:                0 [0.0%]      0 [0.0%]
......CCC Full Absorb:    0 [0.0%]      0 [0.0%]
......Armour Full Absorb: 2 [0.4%]      305 [32.7%]


DUAL WIELDING
Left hand (attacking): spiked black pole (9 3/9 lbs). Right hand (doing nothing): small silver needle (1/9 lbs). 17% burden
Full Combat Stats for stat set 3 'Set Three':
Stat:                     Enemies:      You:
=-=-==-=-=-=-=-=-=-=-=-=  =-=-=-=-=-=-  =-=-=-=-=-=-
Total Kills:              0             0
Total Rounds:             -             842
..Hits Per Round:         1.19          0.65
..Kills Per Round:        0.00          0.00
Total Special Prepares:   -             0
...Successful Prepares:   -             0 [0%]
...Failed Prepares:       -             0 [0%]
Total Specials Against:   0             0
...Specials Landed On:    0 [0%]        0 [0%]
...Specials Defended By:  0 [0%]        0 [0%]
Total Hit Attempts:       1001          544
...Hits Landed:           27 [2.7%]     2 [0.4%]
...Hits Defended:         542 [99.6%]   974 [97.3%]
......Dodged:             0 [0.0%]      617 [63.3%]
.........Barely:          0 [0%]        175 [28.4%]
.........Average:         0 [0%]        409 [66.3%]
.........Good:            0 [0%]        33 [5.3%]
.........Somehow Avoid:   0 [0%]        0 [0.0%]
......Parried:            535 [98.7%]   0 [0.0%]
.........Barely:          1 [0.2%]      0 [0%]
.........Average:         138 [25.8%]   0 [0%]
.........Good:            396 [74.0%]   0 [0%]
......Blocked:            0 [0.0%]      0 [0.0%]
.........Barely:          0 [0%]        0 [0%]
.........Average:         0 [0%]        0 [0%]
.........Good:            0 [0%]        0 [0%]
......Zone Focus:         0 [0.0%]      0 [0.0%]
......TPA:                0 [0.0%]      0 [0.0%]
......Major:              0 [0.0%]      0 [0.0%]
......Bug Shield:         0 [0.0%]      0 [0.0%]
......EFF:                0 [0.0%]      0 [0.0%]
......CCC Full Absorb:    0 [0.0%]      0 [0.0%]
......Armour Full Absorb: 7 [1.3%]      357 [36.7%]

CONCLUSIONS
Two-handing > Dual Wielding > Weapon + Shield for dodge success rate.  67.3%, 63.3%, and 61.6% attacks dodged, respectively.
Dual Wielding had the highest attack speed, even though I wasn't attacking with the small silver needle.
Ignore the "Hits Landed" line.  It's how many damaging hits (through armor) the guardian landed.  His weapon was more damaged in later trials than earlier ones, so he dealt less damage.  Accuracy is unaffected by weapon condition.