The bible record some landmark events and mentions the period in between them all the way from Genesis until Israel and Judah's Exile. We can use this, plus our knowledge of the time of Israel or Judah's exile to calculate what dates the various landmark events ocured. We can then use this date to compare with the dates of other events in the surrounding, that are not recorded in the bible. We can then see how much the events mentioned in the Israel's surrounding tallies with how they are mentioned in the bible. For instance we can check that Ramses 2 reigned from 1279BC-1213BC and you will see that it corresponds to the Period around Jephtah's leading of Israel. You can then read more about Ramses to check if he was aware of Jephtah and the events mentioned in the bible. 

Here is the method for dating when Israel moved out of Egypt. We will use the bible entirely!!

We are told that Israelite journey to cannan took 40 years, and then Joshua led them for 28 years. Now take a journey with me through the book of judges, beginning with Judges 3:8. We note that Israel was ruled and lead by several judges or nations, and in each reign, we are told how long it lasted. So we can simply add all of them. It goes this way:

Aram=8 years
Onthiel=40 years
Moab=18 years
Ehud=80 years
Canaan=20 years
Deborah=40 years
Midianite=7 years
Gideon=40 years
Abimelech=3 years
Tala=23 years
Jai=22 years
Philistine+Amonnites=18 years
jephtah=6 years
philistine=40 years
Samson=20 years
Anarchy~40 years
Samuel=40 years
saul=40 years
David=40 years
Solomon=40 years

This is a total of 653 years. From Solomon, we have the period of 'divided Kingdom' which (you can check it like in above) lasted for 390 years before Israel went to exile. From history, we know that Israel went to exile at 721 BC. So add 653+390+721=1764 BC!

This seems absurd!! It dates back to Pharaoh Yabkim Sekhienre! This is centuaries before Ramses 2, and yet the latter pharaoh ruled cannan! The period of kings and/or judges overlaps the period of Ramses 2's reign in Canaan!!!

You can do your own calculations and check it for yourself!!

I have checked for the Israeli kings. It seems there was an error. I think The 390 years includes upto the time of Judah going to exile, not Israel. Here we move:

Jeroboam=22years
Nadab=2 years
Baasha=24 years
Elah=2 years
Zimri=7 days
Omri=12 years
Ahab=22 years
Jehu=28 years
Jehoahaz=17 years
Jehoash=16years
Jeroboam II=41 years
Zecharia=6months
Shallum=1 month
Menahem=10 years
Pekahiah=2 years
Pekah=20 years
Hoshea=9 years.

You see that the total years add to 227 years. When you add 227+653+721=1601

So according to the bible, Israelites came from Egypt at 1601BC!! This is hillarios! It was the period of Hyksos Dynasty! There were no pharaohs! Specifically, it was during the reign of King Khyan.

But the important thing to note is that this math still shows the absurdity that Ramses 2 reigned in Canaan at the same time Judges of Israel reigned there!!

 Here is the math for Judah:

Rehoboam=17 years
Abijah=3 years
Asa=41 years
Jehoshaphat=25 years
Jehoram=8 years
Ahazia=1year
Joash=40 years
Amaziah=29 years
Azariah=52 years
Jotham=16 years
Ahaz=16 years
Hezekiah=29 years
Manaseh=55 years
Amon=2 years
Josiah=31 years
Jehoahaz=3 months
Eliakim=11years
Jehoiachin=3 months
Zadekiah=11years

TOTAL=387years

According to Wikipedia, the kingdom of Judah started at 930 BC and ended at 587 BC. So it lasted for 343 years. So you can see that the secular dating tallies well with the bible! So I don't know how one might re adjust how the secular dating is done, such that it rectifies the supposed errors in Egyptian dating, but somehow preserve this tally with the bible!! What consistent method can we use?

Combining all these, we can now calculate  the dates for all these events. Here is the results:

Move To Conquer Canaan

1.)1626BC-1686BC.....Israel under Moses
2.)1586BC-1558BC.....Israel under Joshua

The Judges Period

3.)1558BC-1550BC.....Israel under Aram
4.)1550BC-1510BC.....Israel under Onthiel
5.)1510BC-1492BC.....Israel under Moab
6.)1492BC-1412BC.....Israel under Ehud
7.)1412BC-1392BC.....Israel under Canaan
8.)1392BC-1352BC.....Israel under Deborah
9.)1352BC-1345BC.....Israel under Midianites
10.)1345BC-1305BC.....Israel under Gideon
11.)1305BC-1302BC.....Israel under Abimelech
12.)1302BC-1279BC.....Israel under Tala
13.) 1279BC-1257BC.....Israel under Jai
14.)1257BC-1239BC.....Israel under Philistines and Ammonites
15.)1239BC-1233BC.....Israel under Jephtah
16.)1233BC-1193BC.....Israel under Philistines
17.)1193BC-1173BC.....Israel under Samson
18.)1173BC-1133BC.....Israel under Anarchy
19.)1133BC-1093BC.....Israel under Samuel

The United Kingdom Period

20.)1093BC-1053BC.....Israel under Saul
21.)1053BC-1013BC....Israel under David
22.)1013BC-973BC.....Israel under Solomon

The Divided Kingdom Period (Israel)

23.)973BC-951BC.....Israel under Jeroboam
24.)951BC-949BC.....Israel under Nadab
25.)949 BC-925BC.....Israel under Baasha
26.) 925BC-923BC.....Israel under Elah
27.)923BC-923BC.....Israel under Zimri
28.)923BC-911BC.....Israel under Omri
29.)911BC-899BC.....Israel under Ahab
30.)899BC-861BC.....Israel under Jehu
31.)861BC-844BC.....Israel under Jehoahaz
32.)844BC- 828BC.....Israel under Jehoash
34.)828BC-787BC.....Israel under Jeroboam 2
35.)787BC-787BC.....Israel under Zechariah
36.)787BC-787 BC.....Israel under Shallum
37.)787BC-777BC.....Israel under Menahem
38.)777BC-775BC.....Israel under Pekaniah
39.)775BC-755BC.....Israel under Pekah
40.)755BC-746BC.....Israel under Hoshea.

The divide Kingdom Period (Judah)

41.)973BC-956BC.....Judah under Rehoboam
42.)956BC-953BC.....Judah under Abijah
43.)953BC-912BC.....Judah under Asa
44.)912BC-887BC.....Judah under Jehoshaphat
45.)887BC-879BC.....Judah under Jehoram
46.)879BC-878BC.....Judah under Ahazia
47.)878BC-838BC.....Judah under Joash
48.)838BC-809BC.....Judah under Amaziah
49.)809BC-757BC.....Judah under Azariah
50.)757BC-741BC.....Judah under Jotham
51.)741BC-725BC.....Judah under Ahaz
52.)725BC-696BC.....Judah under Hezekiah
53.)696BC-641BC.....Judah under Manaseh
54.)641BC-639BC.....Judah under Amon
55.)639BC-608BC.....Judah under Josiah
56.)608BC-608BC.....Judah under Jehoahaz
57.)608BC-597BC.....Judah under Eliakim
58.)597BC-597BC.....Judah under Jehoiachin
59.)597BC-587BC.....Judah under Zedekiah