The show also switched gears from the random encounters to a more uniform story line, either Monster of the Week or Base Under Siege.
NOTE : Starting with the Second Doctor I am revising the style of the analysis. The measures have individual charts and these charts use actual unscaled numbers. The standard practice was to scale all results fit between 0 and 1 enabling the user to compare different measures on a similar number range. But for these analyses, the unscaled numbers make more sense when not doing comparisons. The previous analyses are correct but not as clear as they could be. If the project calls for it, I will redo the results in this style.
NOTE : After a review from one of the project scientists, we discovered a quirk in the importing of the data. Efforts are underway to correct the process and a revised analysis will be posted here.
Profile : The Second DoctorThe Second Doctor appeared in 24 stories [122 episodes]. He inherited two Companions from the First Doctor [Ben & Polly] and picked up three others during his travels [Jamie, Victoria, & Zoë]. He has the distinction of traveling with two historical Companions, unmatched by any other Doctor.
No longer the grumpy old man, the Second Doctor's playful attitude often put his opponents off guard. He also started the catch-phrase, "When I say run, run. RUN!" Paraphrased, it's still used in the current series. This incarnation of the Doctor had a better understanding of the universe around him was was often less surprised than his predecessor might have been.
It had to be jarring to viewers when the Second Doctor's adventures began. He was so different from the First Doctor, almost a complete stranger. But this Doctor seemed more concerned with the evils that inhabited the universe. Almost as if his regeneration changed more than just his outward appearance.
The Second Doctor's Friends [and their first appearance]
First Doctor : An Unearthly Child
Susan : [Companion] An Unearthly Child
Ben : [Companion] The War Machines
Polly : [Companion] The War Machines
Jamie : [Companion] The Highlanders
Ara : [Companion-Lite] The Underwater Menace
Atlantians : The Underwater Menace
Frank Harris : The Evil of the Daleks
Maggie Harris : The Evil of the Daleks
Mollie Dawson : The Evil of the Daleks
Victoria : [Companion] The Evil of the Daleks
Samantha Briggs : [Companion-Lite] The Faceless Ones
Anne Travers : The Web of Fear
Benton : The Web of Fear
Brigadier : [Companion] The Web of Fear
Professor Travers : The Web of Fear
Soldiers UNIT : The Web of Fear
Astrid : [Companion-Lite] Enemy of the World
Zoë : [Companion] The Wheel in Space
Cully : [Companion-Lite] The Dominators
Master of Fiction : The Mind Robber
Isobel Watkins : [Companion-Lite] The Invasion
Gia Kelly : [Companion-Lite] The Seeds of Death
Milo Clancey : The Space Pirates
Lt. Jeremy Carstairs : [Companion-Lite] The War Games
Goth : The War Games
Time Lords : The War Games
War Lord : The War Games
Third Doctor : Spearhead From Space
Jo : [Companion] Terror of the Autons
Sarah Jane : [Companion] The Time Warrior
Chancellor : The Three Doctors
Dr. Tyler : The Three Doctors
President of the Council : The Three Doctors
Borusa  : The Deadly Assassin
Tegan : [Companion] Logopolis
Fifth Doctor : Castrovalva
Turlough : [Companion] Mawdryn Undead
Rassilon  : The Five Doctors
Peri : [Companion] Planet of Fire
Sixth Doctor : The Twin Dilemma
OthersDaleks : [Villain] The Daleks
Cybermen-Mondasian : [Villain] The Tenth Planet
Yeti : [Villain] The Abominable Snowmen
Macra : [Villain] The Macra Terror
The Great Intelligence : [Villain] The Abominable Snowmen
Ice Warriors : [Villain] The Ice Warriors
Master  : [Villain] Terror of the Autons
Omega : [Villain] The Three Doctors
Sontaran : [Villain] The Time Warrior
Second Doctor's Friend Network
The largest network yet, the display is crowded and occasionally the lines are sometimes untraceable. The prime reason you never depend solely on the network picture alone but use the actual numbers from the charts.
The large cluster on the left side represents the three multi-Doctor stories [The Three Doctors, Five Doctors & the Two Doctors]. GOing toward the center from that bulge is the UNIT cluster. The top right are his travels with Ben & Polly, downward is his time with Jamie & Victoria, and at the bottom right, his time with Jamie and Zoë. There is a clear division between the Second Doctors travels in season 4-6 and his involvement with the multi-Doctor stories.
The multi-Doctor stories on the left are tightly clustered showing multiple strong links. The right side is a loose conglomeration of the Second Doctor's individual stories with many single links to one-off characters. This type of loose network is normal. A multi-Doctor story packs many characters into the small space of a single story.
Second Doctor's Story Network
A natural formation occurred with the later, multi-Doctor stories, yet none of the Second Doctor's Companions are drawn in. The Brigadier is a special case having worked with six of the seven original Doctors.
NOTE : I am revising the style of the analyses working with more individual charts rather than the single, all-encompassing ones. These will better explain the "whys" of the analyses.
The Second Doctor has the highest number of actual links which is the norm for the character at the center of the network. The Brigadier, who appears with the Second Doctor only twice, has strong links to UNIT and that brings him in a close second. The Brigadier's connectivity will re-emerge in all the networks he appears. The Third Doctor's connection to the Brigadier and UNIT help place him in a strong 3rd. The total number of links falls off slowly denoting no character completely dominating the network. The Second Doctor's only Companion to make the chart is Jamie even though he appears in a multi-Doctor story [The Two Doctors]. The entire UNIT group has a strong showing.
"Most connected" does not necessarily mean "Well connected" as shown by the Second Doctor. His low placement denotes a scattered network [evidenced by the right side of the network] as opposed to the tight cluster of the left [the Third Doctor/UNIT cluster]. Though he appears in three multi-Doctor stories, those are single or double links to those characters. Weak compared to the high number of connections the Third Doctor has with other members of the multi-Doctor stories. The first five ranked characters are all from the Third Doctor's run. Those high number of connections also work for Jo and Sarah Jane beating out Jamie.
The Second Doctor's lack of link strength does not impair the number of cliques he belongs to. This function counts "if there is a link between all characters, not the sum of the strength of the links". Big difference! Jamie's high number of connections to the Second Doctor stories brings him in 2nd while The Third Doctor and the Brigadier, in 3rd and 4th place, have very few cliques in this network. Their primary connections are in the multi-Doctor stories alone meaning not many cliques outside that cluster.
The Second Doctor's central placement puts him on the shortest path of the most character pairs. Pick any two characters and connect the dots. There's an excellent chance the Second Doctor will be on that path. This mainly stems from characters in the Doctor's regular seasons [four through six] not being connected to any characters in the multi-Doctor stories. This one is all about location and the Second Doctor is the pivot point. This shows a high degree of information control.
The Brigadier and Third Doctor's connections with UNIT give them the best viewpoint of the overall situation [who knows what other people are doing]. The Second Doctor's position gives him a fair grasp of the general situation but he still ranks only third.
No other character compares to the influence the Second Doctor can exert on his network. In other measures he barely beats the other characters and often drops significantly in the standings. But here the Second Doctor's 1st place is unrivaled. This relates not only back to the total number links but to the exclusiveness of those links. Something neither his normal traveling Companions or the multi-Doctor characters have in this network.
The Second Doctor's CompanionsI talked about how Companions might not fair well in the Second Doctor's network. Jamie faired better than I expected. Zoë's low ranking was expected considering her poor showing in her own network. Both of Victoria's showings were inconsequential. And both Ben and Polly failed to chart at all.
When the amount of strong characters in one network, weak connected characters drop off the charts quickly.
The Second Doctor's Groups
As mentioned, the networks begin to get crowded... as slightly hard to read.
Group 1 : Ben, Polly, Second Doctor, Jamie, Victoria, Samantha Briggs, Mollie Dawson, Ara, Professor Travers, Zoë, Astrid [EotW], Anne Travers, Frank Harris, Maggie Harris, Cully, Milo Clancey, Lt. Jeremy Carstairs, Gia Kelly, Yeti, Macra, The Great Intelligence, Ice Warriors, Master of Fiction, Cybermen-Mondasian, Atlantians
A large, yet not diverse, group. This consists of characters from the Second Doctor's three seasons but excludes the War Games, a cohesive group by itself.
Group 2 : Brigadier, Soldiers UNIT, Benton, Isobel Watkins, Third Doctor, Jo, Chancellor, Dr. Tyler, Sarah Jane, Omega
The UNIT/Third Doctor group which includes not only the Third Doctor's Companions and Associates, but also many which appeared alongside the Second Doctor in the UNIT stories. This is a subgroup of the multi-Doctor cluster though none of the monsters that appeared in the Second Doctor UNIT stories are grouped here.
Group 3 : Tegan, Fifth Doctor, Turlough, Peri, Sixth Doctor, Rassilon , Borusa , Master 
The Late Classical period with the Fifth & Sixth Doctors and has many close connections to groups 2, 4, & 5 [the multi-Doctor cluster]. The Time Lords here are all from the Late Classical period. Again, a logical grouping.
Group 4 : President of the Council, Sontaran, War Lord, Goth, Time Lords
A group with an odd assortment of characters. Pulling primarily from The War Games, it also includes characters such as the Sontarans [The Two Doctors] and the President of the Council [The Three Doctors].
Group 5 : First Doctor, Susan, Daleks
Characters from the Early Classical period. The First Doctor and Susan are connected to the network only through two multi-Doctor stories. A narrow connection back to the first season. The Daleks, as usual, are omnipresent but retain a strong connection to the First Doctor.
The Second Doctor has some strong areas [number of connections and cliques] but also some very weak ones [not many strong connections to important people]. The network is broken into distinct clusters with weak links between them. The Second Doctor is the pivot character [Boundary Spanner] which holds it together but those links are weak. The strong characters from the multi-Doctor cluster take power away from him, especially the Third Doctor/UNIT group.
But this importance translates only to his Companion, Jamie. Other Companions [Zoë, Victoria, Ben and Polly] are pushed out of contention by the Third Doctor and UNIT. Though with only a few story connections, their internal connections more than compensate.
The Second Doctor's pyrrhic victory in the War Games set the up the next phase of the program - The Earth bound Third Doctor.
NEXT UP : The combination of the First and Second Doctor's network.