Fortune's dodge testing, 7/14/2017.  13% burden dodge vs 30% burden dodge.

25 strength, 16 dexterity
457 fi.sp.tactics bonus
59 fi.me.misc bonus
600 fi.de.dodging bonus

The 2 trials below used the following things:
attitude = neutral.  response = dodge.  parry = right.  attack = left.
Left hand (attacking): chisel (1 2/9 lbs)
Fighting the 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%

With 13% burden
Full Combat Stats for stat set 1 'Set One':
Stat:                     Enemies:      You:
=-=-==-=-=-=-=-=-=-=-=-=  =-=-=-=-=-=-  =-=-=-=-=-=-
Total Kills:              0             0
Total Rounds:             -             711
..Hits Per Round:         1.41          0.73
..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:       1006          520
...Hits Landed:           104 [10.3%]   0 [0.0%]
...Hits Defended:         520 [100.0%]  902 [89.7%]
......Dodged:             0 [0.0%]      537 [59.5%]
.........Barely:          0 [0%]        260 [48.4%]
.........Average:         0 [0%]        268 [49.9%]
.........Good:            0 [0%]        9 [1.7%]
.........Somehow Avoid:   0 [0%]        0 [0.0%]
......Parried:            517 [99.4%]   0 [0.0%]
.........Barely:          1 [0.2%]      0 [0%]
.........Average:         158 [30.6%]   0 [0%]
.........Good:            358 [69.2%]   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: 3 [0.6%]      365 [40.5%]

With 30% burden
Full Combat Stats for stat set 2 'Set Two':
Stat:                     Enemies:      You:
=-=-==-=-=-=-=-=-=-=-=-=  =-=-=-=-=-=-  =-=-=-=-=-=-
Total Kills:              0             0
Total Rounds:             -             738
..Hits Per Round:         1.42          0.72
..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:       1051          533
...Hits Landed:           102 [9.7%]    0 [0.0%]  <-- the guardian had fewer damaging hits landed because his weapon was damaged.
...Hits Defended:         533 [100.0%]  949 [90.3%]
......Dodged:             0 [0.0%]      535 [56.4%]
.........Barely:          0 [0%]        304 [56.8%]
.........Average:         0 [0%]        226 [42.2%]
.........Good:            0 [0%]        5 [0.9%]
.........Somehow Avoid:   0 [0%]        0 [0.0%]
......Parried:            531 [99.6%]   0 [0.0%]
.........Barely:          9 [1.7%]      0 [0%]
.........Average:         122 [22.7%]   0 [0%]
.........Good:            400 [75.6%]   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%]      414 [43.6%]

13% burden compared to 30% burden:
I dodged 3.1% more attacks
I had 8.4% fewer "barely" dodges which cost double AP.
I had 7.7% more "average" dodges which cost normal AP.
I had 0.8% more "good" dodges which cost half AP.
My attack speed was 0.01 higher.